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Author : Walter A. Poor
Publisher : Courier Corporation
Page : 356 pages
File Size : 31,25 MB
Release : 2015-04-27
Category : Mathematics
ISBN : 0486151913
This introductory text defines geometric structure by specifying parallel transport in an appropriate fiber bundle and focusing on simplest cases of linear parallel transport in a vector bundle. 1981 edition.
Author : Сергей Петрович Новиков
Publisher : American Mathematical Soc.
Page : 658 pages
File Size : 26,12 MB
Release : 2006
Category : Mathematics
ISBN : 0821839292
Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the important structures on them. This book shows that Riemannian geometry has a great influence to several fundamental areas of modern mathematics and its applications.
Author : Robert Hermann
Publisher : Math Science Press
Page : 363 pages
File Size : 43,69 MB
Release : 1991
Category : Mathematics
ISBN : 9780915692422
VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.
Author : Shoshichi Kobayashi
Publisher : Springer Science & Business Media
Page : 192 pages
File Size : 16,45 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3642619819
Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. The object of this book is to give a biased account of automorphism groups of differential geometric struc tures. All geometric structures are not created equal; some are creations of ~ods while others are products of lesser human minds. Amongst the former, Riemannian and complex structures stand out for their beauty and wealth. A major portion of this book is therefore devoted to these two structures. Chapter I describes a general theory of automorphisms of geometric structures with emphasis on the question of when the automorphism group can be given a Lie group structure. Basic theorems in this regard are presented in §§ 3, 4 and 5. The concept of G-structure or that of pseudo-group structure enables us to treat most of the interesting geo metric structures in a unified manner. In § 8, we sketch the relationship between the two concepts. Chapter I is so arranged that the reader who is primarily interested in Riemannian, complex, conformal and projective structures can skip §§ 5, 6, 7 and 8. This chapter is partly based on lec tures I gave in Tokyo and Berkeley in 1965.
Author : Vladimir Rovenski
Publisher : Springer Nature
Page : 323 pages
File Size : 34,80 MB
Release :
Category :
ISBN : 3031505867
Author : Krzysztof Galicki
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 33,93 MB
Release : 2010-07-25
Category : Mathematics
ISBN : 0817647430
Riemannian Topology and Structures on Manifolds results from a similarly entitled conference held on the occasion of Charles P. Boyer’s 65th birthday. The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kähler and Sasakian geometry, and their interrelation to mathematical physics, especially M and superstring theory. Focusing on these fundamental ideas, this collection presents review articles, original results, and open problems of interest.
Author : Toshiaki Adachi
Publisher : World Scientific
Page : 257 pages
File Size : 41,85 MB
Release : 2022-04-07
Category : Mathematics
ISBN : 9811248117
This volume presents recent developments in geometric structures on Riemannian manifolds and their discretizations. With chapters written by recognized experts, these discussions focus on contact structures, Kähler structures, fiber bundle structures and Einstein metrics. It also contains works on the geometric approach on coding theory.For researchers and students, this volume forms an invaluable source to learn about these subjects that are not only in the field of differential geometry but also in other wide related areas. It promotes and deepens the study of geometric structures.
Author : Javier De Lucas Araujo
Publisher : World Scientific
Page : 425 pages
File Size : 12,13 MB
Release : 2020-01-22
Category : Mathematics
ISBN : 1786346990
The book presents a comprehensive guide to the study of Lie systems from the fundamentals of differential geometry to the development of contemporary research topics. It embraces several basic topics on differential geometry and the study of geometric structures while developing known applications in the theory of Lie systems. The book also includes a brief exploration of the applications of Lie systems to superequations, discrete systems, and partial differential equations.Offering a complete overview from the topic's foundations to the present, this book is an ideal resource for Physics and Mathematics students, doctoral students and researchers.
Author : Serge Lang
Publisher : Springer Science & Business Media
Page : 553 pages
File Size : 40,1 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461205417
This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas. This new edition includes new chapters, sections, examples, and exercises. From the reviews: "There are many books on the fundamentals of differential geometry, but this one is quite exceptional; this is not surprising for those who know Serge Lang's books." --EMS NEWSLETTER
Author : Jeffrey Marc Lee
Publisher : American Mathematical Soc.
Page : 690 pages
File Size : 47,20 MB
Release : 2009
Category : Mathematics
ISBN : 0821848151
Differential geometry began as the study of curves and surfaces using the methods of calculus. This book offers a graduate-level introduction to the tools and structures of modern differential geometry. It includes the topics usually found in a course on differentiable manifolds, such as vector bundles, tensors, and de Rham cohomology.