Manifolds

Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds: A Geometric Approach to Modeling and Analysis

Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds: A Geometric Approach to Modeling and Analysis By Taeyoung Lee, Melvin Leok, N. Harris McClamroch
English | PDF | 2017 (2018 Edition) | 561 Pages | ISBN : 3319569511 | 6.39 MB

This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold. In particular, we introduce a general methodology for obtaining globally valid equations of motion on configuration manifolds that are Lie groups, homogeneous spaces, and embedded manifolds, thereby avoiding the difficulties associated with coordinate singularities.

Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations (Repost)  eBooks & eLearning

Posted by step778 at July 13, 2017
Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations (Repost)

Mickaël D. Chekroun, Honghu Liu, Shouhong Wang, "Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations: Stochastic Manifolds for Nonlinear SPDEs II"
2015 | pages: 141 | ISBN: 3319125192 | PDF | 4,4 mb

Higher-Dimensional Generalized Manifolds: Surgery and Constructions  eBooks & eLearning

Posted by interes at May 28, 2016
Higher-Dimensional Generalized Manifolds: Surgery and Constructions

Higher-Dimensional Generalized Manifolds: Surgery and Constructions (EMS Series of Lectures in Mathematics) by Alberto Cavicchioli and Friedrich Hegenbarth
English | 2016 | ISBN: 3037191562 | 154 pages | PDF | 0,9 MB

The Wild World of 4-Manifolds  eBooks & eLearning

Posted by avava at Jan. 8, 2012
The Wild World of 4-Manifolds

Alexandru Scorpan, "The Wild World of 4-Manifolds"
Publisher: American Mathematical Society | ISBN: 0821837494 | 2005 | PDF | 609 pages | 13.2 MB

Structures on Manifolds  eBooks & eLearning

Posted by phidhahoogaya at May 22, 2011
Structures on Manifolds

Structures on Manifolds
World Scientific Pub Co Inc | April 1985 | ISBN-10: 9971966158 | 518 pages | PDF | 29.14 MB

Structures on Manifolds (Series in Pure Mathematics, Part I, Monographs and Textbooks, Vol 3)
Kentaro Yano (Author), Masahiro Kon (Author)

Compact Manifolds with Special Holonomy  eBooks & eLearning

Posted by harrry at June 10, 2009
Compact Manifolds with Special Holonomy

Compact Manifolds with Special Holonomy
Oxford University Press | September 21, 2000 | ISBN: 0198506015 | 448 pages | PDF | 5.39 mb

The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kahler geometry. Then the Calabi conjecture is proved and used to deduce the existence of compact manifolds with holonomy SU(m) (Calabi-Yau manifolds) and Sp(m) (hyperkahler manifolds). These are constructed and studied using complex algebraic geometry. The second half of the book is devoted to constructions of compact 7- and 8-manifolds with the exceptional holonomy groups 92 and Spin(7). Many new examples are given, and their Betti numbers calculated. The first known examples of these manifolds were discovered by the author in 1993-5. This is the first book to be written about them, and contains much previously unpublished material which significantly improves the original constructions.

Smooth Manifolds and Observables [Repost]  eBooks & eLearning

Posted by ChrisRedfield at Aug. 10, 2017
Smooth Manifolds and Observables [Repost]

Jet Nestruev - Smooth Manifolds and Observables
Published: 2002-10-04 | ISBN: 0387955437, 1441930477 | PDF | 222 pages | 1.48 MB

Differential Analysis on Complex Manifolds (3rd edition) [Repost]  eBooks & eLearning

Posted by ChrisRedfield at Aug. 10, 2017
Differential Analysis on Complex Manifolds (3rd edition) [Repost]

Raymond O. Wells - Differential Analysis on Complex Manifolds (3rd edition)
Published: 2007-10-31 | ISBN: 0387738916, 144192535X | PDF | 299 pages | 1.4 MB

Differential Geometry: Manifolds, Curves, and Surfaces [Repost]  eBooks & eLearning

Posted by ChrisRedfield at Aug. 9, 2017
Differential Geometry: Manifolds, Curves, and Surfaces [Repost]

Marcel Berger, Bernard Gostiaux - Differential Geometry: Manifolds, Curves, and Surfaces
Published: 1987-11-23 | ISBN: 0387966269, 3540966269, 146126992X | PDF | 476 pages | 14.96 MB

Euclidean Quantum Gravity on Manifolds with Boundary (Repost)  eBooks & eLearning

Posted by AvaxGenius at July 24, 2017
Euclidean Quantum Gravity on Manifolds with Boundary (Repost)

Euclidean Quantum Gravity on Manifolds with Boundary By Giampiero Esposito, Alexander Yu. Kamenshchik, Giuseppe Pollifrone
English | PDF | 1997 | 334 Pages | ISBN : 9401064520 | 30.7 MB

This book reflects our own struggle to understand the semiclassical behaviour of quantized fields in the presence of boundaries. Along many years, motivated by the problems of quantum cosmology and quantum field theory, we have studied in detail the one-loop properties of massless spin-l/2 fields, Euclidean Maxwell the­ ory, gravitino potentials and Euclidean quantum gravity.