Results 41 to 50 of about 461,075 (111)

Special Kaehler manifolds: a survey [PDF]

open access: yesarXiv, 2001
This is a survey of recent contributions to the area of special Kaehler geometry. It is based on lectures given at the 21st Winter School on Geometry and Physics held in Srni in January 2001.
arxiv  

Symplectic Geometry, Poisson Geometry, and Beyond [PDF]

open access: yesarXiv
Symplectic and Poisson geometry emerged as a tool to understand the mathematical structure behind classical mechanics. However, due to its huge development over the past century, it has become an independent field of research in differential geometry. In this lecture notes, we will introduce the essential objects and techniques in symplectic geometry ...
arxiv  

Teleparallelism as anholonomic geometry [PDF]

open access: yesarXiv, 2018
The geometry of parallelizable manifolds is presented from the standpoint of regarding it as conventional (e.g., Euclidian or Minkowskian) geometry, when it is described with respect to an anholonomic frame field that is defined on the space in question.
arxiv  

Preface: Proceedings Algebra, Geometry and Mathematical Physics Conference, AGMP 2011 [PDF]

open access: green, 2014
Abdenacer Makhlouf   +3 more
openalex   +2 more sources

A brief introduction to non-regular spacetime geometry [PDF]

open access: yesarXiv
We give a brief non-technical introduction to non-regular spacetime geometry. In particular, we discuss how curvature, and hence gravity, can be defined without a smooth (differential geometric) calculus.
arxiv  

Geometric Phases [PDF]

open access: yesarXiv, 2005
The differential geometric aspects of Geometric Phases are reviewed.
arxiv  

On Geometry and Symmetry of Kepler Systems. I [PDF]

open access: yesarXiv, 2017
We study the Kepler metrics on Kepler manifolds from the point of view of Sasakian geometry and Hessian geometry. This establishes a link between the problem of classical gravity and the modern geometric methods in the study of AdS/CFT correspondence in string theory.
arxiv  

Some Open Problems in Sasaki Geometry [PDF]

open access: yesLondon Mathematical Society Lecture Note Series 463: Differential Geometry in the Large, pg 143-168 (2021), 2019
This paper has been submitted to the Proceedings of the Australian-German Workshop on Differential Geometry in the Large held at the mathematical research institute MATRIX in Creswick, Victoria, Australia, Feb.2-Feb.14, 2019. We describe and discuss 2 important open problems in Sasaki geometry.
arxiv  

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