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Lectures on Geodesics in Riemannian Geometry by M. Berger
 
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Ebooks May 29, 2022 1

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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
Lecture Notes in Lie Groups by Vladimir G. Ivancevic, Tijana T. Ivancevic
 
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Ebooks May 29, 2022 2

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Author
Vladimir G. Ivancevic, Tijana T. Ivancevic
Publisher
arXiv 2011
These lecture notes in Lie Groups are designed for a 1-semester third year or graduate course in mathematics, physics, engineering, chemistry or biology.
 
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Ebooks May 28, 2022 2

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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....
Lectures on Fibre Bundles and Differential Geometry by J.L. Koszul
 
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Ebooks May 28, 2022 3

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Author
J.L. Koszul
Publisher
Tata Institute of Fundamental Research 1960
Contents: Differential Calculus; Differentiable Bundles; Connections on Principal Bundles; Holonomy Groups; Vector Bundles and Derivation Laws; Holomorphic Connections (Complex vector bundles, Almost complex manifolds, Derivation law in the complex case).
Synthetic Geometry of Manifolds by Anders Kock
 
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Ebooks May 27, 2022 3

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Author
Anders Kock
Publisher
University of Aarhus 2009
This textbook can be used as a non-technical and geometric gateway to many aspects of differential geometry. The audience of the book is anybody with a reasonable mathematical maturity, who wants to learn some differential geometry.
Lecture Notes on Embedded Contact Homology by Michael Hutchings
 
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Ebooks May 27, 2022 6

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Author
Michael Hutchings
Publisher
arXiv 2013
These notes give an introduction to embedded contact homology (ECH) of contact three-manifolds, gathering together many basic notions which are scattered across a number of papers.
Lectures on Lie Groups and Representations of Locally Compact Groups by F. Bruhat
 
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Ebooks May 27, 2022 5

Ebook Details

Author
F. Bruhat
Publisher
Tata Institute of Fundamental Research 1958
We shall consider some heterogeneous topics relating to Lie groups and the general theory of representations of locally compact groups. The first part exclusively deals with some elementary facts about Lie groups and the last two parts are entirely independent of the material contained in the first. ...
Ricci-Hamilton Flow on Surfaces by Li Ma
 
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Ebooks May 27, 2022 2

Ebook Details

Author
Li Ma
Publisher
Tsinghua University 2003
Contents: Ricci-Hamilton flow on surfaces; Bartz-Struwe-Ye estimate; Hamilton's another proof on S2; Perelman's W-functional and its applications; Ricci-Hamilton flow on Riemannian manifolds; The maximum principles; Curve shortening flow on manifolds; Selected topics in Nirenberg's problem.
Lie Groups, Physics, and Geometry by Robert Gilmore
 
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Ebooks May 26, 2022 2

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Author
by Robert Gilmore
Publisher
Drexel University 2007
The book emphasizes the most useful aspects of Lie groups, in a way that is easy for students to acquire and to assimilate. It includes a chapter dedicated to the applications of Lie group theory to solving differential equations.
Quantum Physics, Relativity, and Complex Spacetime by Gerald Kaiser
 
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Ebooks May 26, 2022 3

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Author
Gerald Kaiser
Publisher
University of Massachusetts at Lowell 2003
A new synthesis of the principles of quantum mechanics and Relativity is proposed in the context of complex differential geometry. The positivity of the energy implies that wave functions and fields can be extended to complex spacetime.
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