Logo

Riemannian Submanifolds: A Survey

Small book cover: Riemannian Submanifolds: A Survey

Riemannian Submanifolds: A Survey
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(1.5MB, PDF)

Similar books

Book cover: Semi-Riemann Geometry and General RelativitySemi-Riemann Geometry and General Relativity
by
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.
(18224 views)
Book cover: Medians and Means in Riemannian Geometry: Existence, Uniqueness and ComputationMedians and Means in Riemannian Geometry: Existence, Uniqueness and Computation
by - 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.
(9851 views)
Book cover: Treatise on Differential Geometry and its role in Relativity TheoryTreatise on Differential Geometry and its role in Relativity Theory
by - 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.
(2851 views)
Book cover: Lectures notes on compact Riemann surfacesLectures notes on compact Riemann surfaces
by - arXiv.org
An introduction to the geometry of compact Riemann surfaces. Contents: Riemann surfaces; Functions and forms on Riemann surfaces; Abel map, Jacobian and Theta function; Riemann-Roch; Moduli spaces; Eigenvector bundles and solutions of Lax equations.
(5200 views)