Riemannian Submanifolds: A Survey
by Bang-Yen Chen
Publisher: arXiv 2013
Number of pages: 272
Description:
Submanifold theory is a very active vast research field which plays an important role in the development of modern differential geometry. In this book, the author provides a broad review of Riemannian submanifolds in differential geometry.
Download or read it online for free here:
Download link
(1.5MB, PDF)
Similar books
Riemann Surfaces, Dynamics and Geometryby Curtis McMullen - Harvard University
This course will concern the interaction between: hyperbolic geometry in dimensions 2 and 3, the dynamics of iterated rational maps, and the theory of Riemann surfaces and their deformations. Intended for advanced graduate students.
(15320 views)
Medians and Means in Riemannian Geometry: Existence, Uniqueness and Computationby M. Arnaudon, F. Barbaresco, L. Yang - arXiv
This paper is a short summary of our recent work on the medians and means of probability measures in Riemannian manifolds. The existence and uniqueness results of local medians are given. We propose a subgradient algorithm and prove its convergence.
(10834 views)
Semi-Riemann Geometry and General Relativityby Shlomo Sternberg
Course notes for an introduction to Riemannian geometry and its principal physical application, Einstein’s theory of general relativity. The background assumed is a good grounding in linear algebra and in advanced calculus.
(19605 views)
Treatise on Differential Geometry and its role in Relativity Theoryby Subenoy Chakraborty - arXiv.org
These notes will be helpful to undergraduate and postgraduate students in theoretical physics and in applied mathematics. Modern terminology in differential geometry has been discussed in the book with the motivation of geometrical way of thinking.
(3999 views)