Geometric Mechanics on Riemannian Manifolds

Geometric Mechanics on Riemannian Manifolds
Author: Ovidiu Calin
Publisher: Springer Science & Business Media
Total Pages: 285
Release: 2006-03-15
Genre: Mathematics
ISBN: 0817644210


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* A geometric approach to problems in physics, many of which cannot be solved by any other methods * Text is enriched with good examples and exercises at the end of every chapter * Fine for a course or seminar directed at grad and adv. undergrad students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mechanics, and physics


Geometric Mechanics on Riemannian Manifolds
Language: en
Pages: 285
Authors: Ovidiu Calin
Categories: Mathematics
Type: BOOK - Published: 2006-03-15 - Publisher: Springer Science & Business Media

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* A geometric approach to problems in physics, many of which cannot be solved by any other methods * Text is enriched with good examples and exercises at the en
An Introduction to Riemannian Geometry
Language: en
Pages: 476
Authors: Leonor Godinho
Categories: Mathematics
Type: BOOK - Published: 2014-07-26 - Publisher: Springer

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Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first pa
On the Hypotheses Which Lie at the Bases of Geometry
Language: en
Pages: 181
Authors: Bernhard Riemann
Categories: Mathematics
Type: BOOK - Published: 2016-04-19 - Publisher: Birkhäuser

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This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophic
Sub-Riemannian Geometry
Language: en
Pages: 371
Authors: Ovidiu Calin
Categories: Mathematics
Type: BOOK - Published: 2009-04-20 - Publisher: Cambridge University Press

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A comprehensive text and reference on sub-Riemannian and Heisenberg manifolds using a novel and robust variational approach.
Riemannian Geometry in an Orthogonal Frame
Language: en
Pages: 284
Authors: Elie Cartan
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: World Scientific

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Elie Cartan's book Geometry of Riemannian Manifolds (1928) was one of the best introductions to his methods. It was based on lectures given by the author at the