Free Riemannian Geometry ebooks. Categorized directory of free Riemannian Geometry books. Read online or download free ebooks in different formats.
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21
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Author
M. Berger
Publisher
Tata Institute of Fundamental Research 1965
The main topic of these notes is geodesics. Our aim is 1) to give a fairly complete treatment of the foundations of Riemannian geometry through the tangent
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14
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Author
M. Arnaudon, F. Barbaresco, L. Yang
Publisher
arXiv 2011
This paper is a short summary of our recent work on the medians and means of probability measures in Riemannian manifolds. Firstly, the existence and uniqueness results of local medians are given. In order to compute medians in practical cases, we propose a subgradient algorithm and prove its convergence....
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17
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Author
David R. Wilkins
Publisher
Trinity College, Dublin 2005
From the table of contents: Smooth Manifolds; Tangent Spaces; Affine Connections on Smooth Manifolds; Riemannian Manifolds; Geometry of Surfaces in R3; Geodesics in Riemannian Manifolds; Complete Riemannian Manifolds; Jacobi Fields.
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17
Ebook Details
Author
John Douglas Moore
Publisher
University of California 2009
This course will describe the foundations of Riemannian geometry, including geodesics and curvature, as well as connections in vector bundles, and then go on to discuss the relationships between curvature and topology.
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16
Ebook Details
Author
Marcel Berger
Publisher
Springer 2002
In this monumental work, Marcel Berger manages to survey large parts of present day Riemannian geometry. The book offers a great opportunity to get a first impression of some part of Riemannian geometry, together with hints for further reading.
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18
Ebook Details
Author
Richard L. Bishop
Publisher
arXiv 2013
These notes on Riemannian geometry use the bases bundle and frame bundle, as in Geometry of Manifolds, to express the geometric structures.
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17
Ebook Details
Author
Leonor Godinho, Jose Natario
Publisher
2004
Contents: Differentiable Manifolds; Differential Forms; Riemannian Manifolds; Curvature; Geometric Mechanics; Relativity (Galileo Spacetime, Special Relativity, The Cartan Connection, General Relativity, The Schwarzschild Solution).
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18
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Author
Andrew Clarke, Bianca Santoro
Publisher
arXiv 2012
The holonomy group is one of the fundamental analytical objects that one can define on a Riemannian manfold. These notes provide a first introduction to the main general ideas on the study of the holonomy groups of a Riemannian manifold.
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15
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Category
Author
Curtis McMullen
Publisher
Harvard University 2005
Contents: Maps between Riemann surfaces; Sheaves and analytic continuation; Algebraic functions; Holomorphic and harmonic forms;
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14
Ebook Details
Author
D. Bao, R. Bryant, S. Chern, Z. Shen
Publisher
Cambridge University Press 2004
Finsler geometry generalizes Riemannian geometry in the same sense that Banach spaces generalize Hilbert spaces. This book presents an expository account of seven important topics in Riemann-Finsler geometry, ones which have recently undergone