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Author : Robert David Rigdon
Publisher :
ISBN 13 :
Total Pages : 282 pages
Book Rating : 4.:/5 (34 download)
Download or read book Immersions and Embeddings of Manifolds in Euclidean Space written by Robert David Rigdon and published by . This book was released on 1970 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Rees Bausum
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (71 download)
Download or read book Embeddings and Immersions of Manifolds in Euclidean Space, Dissertation written by David Rees Bausum and published by . This book was released on 1974 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Masahisa Adachi
Publisher : American Mathematical Soc.
ISBN 13 : 0821891642
Total Pages : 198 pages
Book Rating : 4.8/5 (218 download)
Download or read book Embeddings and Immersions written by Masahisa Adachi and published by American Mathematical Soc.. This book was released on 2012-11-07 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers fundamental techniques in the theory of -imbeddings and -immersions, emphasizing clear intuitive understanding and containing many figures and diagrams. Adachi starts with an introduction to the work of Whitney and of Haefliger on -imbeddings and -manifolds. The Smale-Hirsch theorem is presented as a generalization of the classification of -imbeddings by isotopy and is extended by Gromov's work on the subject, including Gromov's convex integration theory. Finally, as an application of Gromov's work, the author introduces Haefliger's classification theorem of foliations on open manifolds. Also described here is the Adachi's work with Landweber on the integrability of almost complex structures on open manifolds. This book would be an excellent text for upper-division undergraduate or graduate courses.Nothing provided
Author : Qing Han
Publisher : American Mathematical Soc.
ISBN 13 : 0821840711
Total Pages : 278 pages
Book Rating : 4.8/5 (218 download)
Download or read book Isometric Embedding of Riemannian Manifolds in Euclidean Spaces written by Qing Han and published by American Mathematical Soc.. This book was released on 2006 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The question of the existence of isometric embeddings of Riemannian manifolds in Euclidean space is already more than a century old. This book presents, in a systematic way, results both local and global and in arbitrary dimension but with a focus on the isometric embedding of surfaces in ${\mathbb R}^3$. The emphasis is on those PDE techniques which are essential to the most important results of the last century. The classic results in this book include the Janet-Cartan Theorem, Nirenberg's solution of the Weyl problem, and Nash's Embedding Theorem, with a simplified proof by Gunther. The book also includes the main results from the past twenty years, both local and global, on the isometric embedding of surfaces in Euclidean 3-space. The work will be indispensable to researchers in the area. Moreover, the authors integrate the results and techniques into a unified whole, providing a good entry point into the area for advanced graduate students or anyone interested in this subject. The authors avoid what is technically complicated. Background knowledge is kept to an essential minimum: a one-semester course in differential geometry and a one-year course in partial differential equations.
Author : Hans Samelson
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.3/5 (91 download)
Download or read book On Immersion of Manifolds written by Hans Samelson and published by . This book was released on 1959 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shlomo Sternberg
Publisher : American Mathematical Soc.
ISBN 13 : 0821813854
Total Pages : 466 pages
Book Rating : 4.8/5 (218 download)
Download or read book Lectures on Differential Geometry written by Shlomo Sternberg and published by American Mathematical Soc.. This book was released on 1999 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on lectures given at Harvard University during the academic year 1960-1961. The presentation assumes knowledge of the elements of modern algebra (groups, vector spaces, etc.) and point-set topology and some elementary analysis. Rather than giving all the basic information or touching upon every topic in the field, this work treats various selected topics in differential geometry. The author concisely addresses standard material and spreads exercises throughout the text. His reprint has two additions to the original volume: a paper written jointly with V. Guillemin at the beginning of a period of intense interest in the equivalence problem and a short description from the author on results in the field that occurred between the first and the second printings.
Author : Robert Everist Greene
Publisher : American Mathematical Soc.
ISBN 13 : 0821812971
Total Pages : 69 pages
Book Rating : 4.8/5 (218 download)
Download or read book Isometric Embeddings of Riemannian and Pseudo-Riemannian Manifolds written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1970 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anthony Leonard JOHNSON
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (112 download)
Download or read book The Embedding and Immersion of Differential Manifolds in Euclidean Space, with Application to Complex and Quaternionic Projective Spaces written by Anthony Leonard JOHNSON and published by . This book was released on 1971 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert J. Daverman
Publisher : American Mathematical Soc.
ISBN 13 : 0821836978
Total Pages : 496 pages
Book Rating : 4.8/5 (218 download)
Download or read book Embeddings in Manifolds written by Robert J. Daverman and published by American Mathematical Soc.. This book was released on 2009-10-14 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: A topological embedding is a homeomorphism of one space onto a subspace of another. The book analyzes how and when objects like polyhedra or manifolds embed in a given higher-dimensional manifold. The main problem is to determine when two topological embeddings of the same object are equivalent in the sense of differing only by a homeomorphism of the ambient manifold. Knot theory is the special case of spheres smoothly embedded in spheres; in this book, much more general spaces and much more general embeddings are considered. A key aspect of the main problem is taming: when is a topological embedding of a polyhedron equivalent to a piecewise linear embedding? A central theme of the book is the fundamental role played by local homotopy properties of the complement in answering this taming question. The book begins with a fresh description of the various classic examples of wild embeddings (i.e., embeddings inequivalent to piecewise linear embeddings). Engulfing, the fundamental tool of the subject, is developed next. After that, the study of embeddings is organized by codimension (the difference between the ambient dimension and the dimension of the embedded space). In all codimensions greater than two, topological embeddings of compacta are approximated by nicer embeddings, nice embeddings of polyhedra are tamed, topological embeddings of polyhedra are approximated by piecewise linear embeddings, and piecewise linear embeddings are locally unknotted. Complete details of the codimension-three proofs, including the requisite piecewise linear tools, are provided. The treatment of codimension-two embeddings includes a self-contained, elementary exposition of the algebraic invariants needed to construct counterexamples to the approximation and existence of embeddings. The treatment of codimension-one embeddings includes the locally flat approximation theorem for manifolds as well as the characterization of local flatness in terms of local homotopy properties.
Author : David Harold Spring
Publisher :
ISBN 13 :
Total Pages : 158 pages
Book Rating : 4.:/5 (29 download)
Download or read book Proper Embeddings of Open Manifolds in Euclidean Space written by David Harold Spring and published by . This book was released on 1967 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor Guillemin
Publisher : American Mathematical Soc.
ISBN 13 : 0821851934
Total Pages : 242 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differential Topology written by Victor Guillemin and published by American Mathematical Soc.. This book was released on 2010 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Topology provides an elementary and intuitive introduction to the study of smooth manifolds. In the years since its first publication, Guillemin and Pollack's book has become a standard text on the subject. It is a jewel of mathematical exposition, judiciously picking exactly the right mixture of detail and generality to display the richness within. The text is mostly self-contained, requiring only undergraduate analysis and linear algebra. By relying on a unifying idea--transversality--the authors are able to avoid the use of big machinery or ad hoc techniques to establish the main results. In this way, they present intelligent treatments of important theorems, such as the Lefschetz fixed-point theorem, the Poincaré-Hopf index theorem, and Stokes theorem. The book has a wealth of exercises of various types. Some are routine explorations of the main material. In others, the students are guided step-by-step through proofs of fundamental results, such as the Jordan-Brouwer separation theorem. An exercise section in Chapter 4 leads the student through a construction of de Rham cohomology and a proof of its homotopy invariance. The book is suitable for either an introductory graduate course or an advanced undergraduate course.
Author : Thomas E. Cecil
Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.:/5 (49 download)
Download or read book Tight and Taut Immersions of Manifolds written by Thomas E. Cecil and published by Pitman Advanced Publishing Program. This book was released on 1985 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zerrin Ṣentürk
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.:/5 (118 download)
Download or read book Parallel Immersions of Manifolds Into Euclidean Space written by Zerrin Ṣentürk and published by . This book was released on 1994 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John M. Lee
Publisher : Springer Science & Business Media
ISBN 13 : 0387217525
Total Pages : 646 pages
Book Rating : 4.3/5 (872 download)
Download or read book Introduction to Smooth Manifolds written by John M. Lee and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Author has written several excellent Springer books.; This book is a sequel to Introduction to Topological Manifolds; Careful and illuminating explanations, excellent diagrams and exemplary motivation; Includes short preliminary sections before each section explaining what is ahead and why
Author : Adam Marsh
Publisher : World Scientific
ISBN 13 : 9813233931
Total Pages : 301 pages
Book Rating : 4.8/5 (132 download)
Download or read book Mathematics For Physics: An Illustrated Handbook written by Adam Marsh and published by World Scientific. This book was released on 2017-11-27 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book complements traditional textbooks by providing a visual yet rigorous survey of the mathematics used in theoretical physics beyond that typically covered in undergraduate math and physics courses. The exposition is pedagogical but compact, and the emphasis is on defining and visualizing concepts and relationships between them, as well as listing common confusions, alternative notations and jargon, and relevant facts and theorems. Special attention is given to detailed figures and geometric viewpoints. Certain topics which are well covered in textbooks, such as historical motivations, proofs and derivations, and tools for practical calculations, are avoided. The primary physical models targeted are general relativity, spinors, and gauge theories, with notable chapters on Riemannian geometry, Clifford algebras, and fiber bundles.
Author : Charles Terence Clegg Wall
Publisher : American Mathematical Soc.
ISBN 13 : 0821809423
Total Pages : 321 pages
Book Rating : 4.8/5 (218 download)
Download or read book Surgery on Compact Manifolds written by Charles Terence Clegg Wall and published by American Mathematical Soc.. This book was released on 1999 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: The publication of this book in 1970 marked the culmination of a period in the history of the topology of manifolds. This edition, based on the original text, is supplemented by notes on subsequent developments and updated references and commentaries.
Author : Jerome Bernard Minkus
Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.:/5 (494 download)
Download or read book On Embedding Highly Connected Manifolds in Euclidean Space written by Jerome Bernard Minkus and published by . This book was released on 1963 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
