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Author : D. Ferus,W. Kuhnel,U. Simon
Publisher : Unknown
Page : 316 pages
File Size : 41,8 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662193051
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 53,8 Mb
Release : 1979
Category : Electronic
ISBN : OCLC:164999985
Author : Ilka Agricola,Thomas Friedrich
Publisher : American Mathematical Soc.
Page : 362 pages
File Size : 51,6 Mb
Release : 2002
Category : Differential forms
ISBN : 9780821829516
The final third of the book applies the mathematical ideas to important areas of physics: Hamiltonian mechanics, statistical mechanics, and electrodynamics." "There are many classroom-tested exercises and examples with excellent figures throughout. The book is ideal as a text for a first course in differential geometry, suitable for advanced undergraduates or graduate students in mathematics or physics."--BOOK JACKET.
Author : Bang-Yen Chen,Nicholas D. Brubaker,Takashi Sakai,Bogdan D. Suceavă,Makiko Sumi Tanaka,Hiroshi Tamaru,Mihaela B. Vajiac
Publisher : American Mathematical Society
Page : 242 pages
File Size : 47,9 Mb
Release : 2022-04-07
Category : Mathematics
ISBN : 9781470460150
This volume contains the proceedings of the AMS Special Session on Differential Geometry and Global Analysis, Honoring the Memory of Tadashi Nagano (1930–2017), held January 16, 2020, in Denver, Colorado. Tadashi Nagano was one of the great Japanese differential geometers, whose fundamental and seminal work still attracts much interest today. This volume is inspired by his work and his legacy and, while recalling historical results, presents recent developments in the geometry of symmetric spaces as well as generalizations of symmetric spaces; minimal surfaces and minimal submanifolds; totally geodesic submanifolds and their classification; Riemannian, affine, projective, and conformal connections; the $(M_{+}, M_{-})$ method and its applications; and maximal antipodal subsets. Additionally, the volume features recent achievements related to biharmonic and biconservative hypersurfaces in space forms, the geometry of Laplace operator on Riemannian manifolds, and Chen-Ricci inequalities for Riemannian maps, among other topics that could attract the interest of any scholar working in differential geometry and global analysis on manifolds.
Author : Andreas Kriegl,Peter W. Michor
Publisher : American Mathematical Soc.
Page : 631 pages
File Size : 46,6 Mb
Release : 1997
Category : Global analysis (Mathematics).
ISBN : 9780821807804
For graduate students and research mathematicians interested in global analysis and the analysis of manifolds, lays the foundations for a differential calculus in infinite dimensions and discusses applications in infinite-dimension differential geometry and global analysis not involving Sobolev completions and fixed-point theory. Shows how the notion of smoothness as mapping smooth curves to smooth curves coincides with all known reasonable concepts up to Frechet spaces. Then develops a calculus of holomorphic mappings, and another of real analytical mapping. Emphasizes regular infinite dimensional Lie groups. Annotation copyrighted by Book News, Inc., Portland, OR
Author : D. Ferus,W. Kühnel,U. Simon,B. Wegner
Publisher : Springer
Page : 312 pages
File Size : 49,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540384199
Author : D. Ferus
Publisher : Unknown
Page : 0 pages
File Size : 41,5 Mb
Release : 2024-06-30
Category : Geometry, Differential
ISBN : 0387159940
Author : Dirk Ferus,Robert B. Gardner,Sigurdur Helgason,Udo Simon
Publisher : Springer
Page : 344 pages
File Size : 44,6 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540396987
Author : Canadian Mathematical Society. Summer Meeting
Publisher : American Mathematical Soc.
Page : 198 pages
File Size : 41,7 Mb
Release : 1992
Category : Mathematics
ISBN : 0821860178
This book contains the proceedings of a special session held during the Summer Meeting of the Canadian Mathematical Society in 1990. The articles collected here reflect the diverse interests of the participants but are united by the common theme of the interplay among geometry, global analysis, and topology. The topics covered include applications to low dimensional manifolds, control theory, integrable systems, Lie algebras of operators, and algebraic geometry and provide an insight into some recent trends in these areas.
Author : Dirk Ferus,Ulrich Pinkall,Udo Simon,Berd Wegner
Publisher : Springer
Page : 289 pages
File Size : 47,6 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540464457
All papers appearing in this volume are original research articles and have not been published elsewhere. They meet the requirements that are necessary for publication in a good quality primary journal. E.Belchev, S.Hineva: On the minimal hypersurfaces of a locally symmetric manifold. -N.Blasic, N.Bokan, P.Gilkey: The spectral geometry of the Laplacian and the conformal Laplacian for manifolds with boundary. -J.Bolton, W.M.Oxbury, L.Vrancken, L.M. Woodward: Minimal immersions of RP2 into CPn. -W.Cieslak, A. Miernowski, W.Mozgawa: Isoptics of a strictly convex curve. -F.Dillen, L.Vrancken: Generalized Cayley surfaces. -A.Ferrandez, O.J.Garay, P.Lucas: On a certain class of conformally flat Euclidean hypersurfaces. -P.Gauduchon: Self-dual manifolds with non-negative Ricci operator. -B.Hajduk: On the obstruction group toexistence of Riemannian metrics of positive scalar curvature. -U.Hammenstaedt: Compact manifolds with 1/4-pinched negative curvature. -J.Jost, Xiaowei Peng: The geometry of moduli spaces of stable vector bundles over Riemannian surfaces. - O.Kowalski, F.Tricerri: A canonical connection for locally homogeneous Riemannian manifolds. -M.Kozlowski: Some improper affine spheres in A3. -R.Kusner: A maximum principle at infinity and the topology of complete embedded surfaces with constant mean curvature. -Anmin Li: Affine completeness and Euclidean completeness. -U.Lumiste: On submanifolds with parallel higher order fundamental form in Euclidean spaces. -A.Martinez, F.Milan: Convex affine surfaces with constant affine mean curvature. -M.Min-Oo, E.A.Ruh, P.Tondeur: Transversal curvature and tautness for Riemannian foliations. -S.Montiel, A.Ros: Schroedinger operators associated to a holomorphic map. -D.Motreanu: Generic existence of Morse functions on infinite dimensional Riemannian manifolds and applications. -B.Opozda: Some extensions of Radon's theorem.
Author : Dirk Ferus,Robert B. Gardner,Sigurdur Helgason
Publisher : Unknown
Page : 348 pages
File Size : 55,6 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 3662184567
Author : I︠U︡. E. Gliklikh
Publisher : Springer Science & Business Media
Page : 240 pages
File Size : 41,9 Mb
Release : 1997
Category : Mathematics
ISBN : 0387948678
This book is the first in monographic literature giving a common treatment to three areas of applications of Global Analysis in Mathematical Physics previously considered quite distant from each other, namely, differential geometry applied to classical mechanics, stochastic differential geometry used in quantum and statistical mechanics, and infinite-dimensional differential geometry fundamental for hydrodynamics. The unification of these topics is made possible by considering the Newton equation or its natural generalizations and analogues as a fundamental equation of motion. New general geometric and stochastic methods of investigation are developed, and new results on existence, uniqueness, and qualitative behavior of solutions are obtained.
Author : Christian Bär,Joachim Lohkamp,Matthias Schwarz
Publisher : Springer Science & Business Media
Page : 520 pages
File Size : 46,5 Mb
Release : 2011-12-18
Category : Mathematics
ISBN : 9783642228421
This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry. The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.
Author : Esteban Calviño-Louzao,Eduardo García-Río,Peter B Gilkey,JeongHyeong Park,Ramón Vázquez-Lorenzo
Publisher : Morgan & Claypool Publishers
Page : 158 pages
File Size : 55,7 Mb
Release : 2021-04-06
Category : Mathematics
ISBN : 9781636391113
Book V completes the discussion of the first four books by treating in some detail the analytic results in elliptic operator theory used previously. Chapters 16 and 17 provide a treatment of the techniques in Hilbert space, the Fourier transform, and elliptic operator theory necessary to establish the spectral decomposition theorem of a self-adjoint operator of Laplace type and to prove the Hodge Decomposition Theorem that was stated without proof in Book II. In Chapter 18, we treat the de Rham complex and the Dolbeault complex, and discuss spinors. In Chapter 19, we discuss complex geometry and establish the Kodaira Embedding Theorem.
Author : Anonim
Publisher : Unknown
Page : 282 pages
File Size : 50,6 Mb
Release : 1991
Category : Global analysis (Mathematics)
ISBN : OCLC:1132103409
