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: Riemannian GeometryRiemannian Geometry
by
Based on the lecture notes on differential geometry. From the contents: Differentiable manifolds, a brief review; Riemannian metrics; Connections; Geodesics; Curvature; Jacobi fields; Curvature and topology; Comparison geometry; The sphere theorem.
(10376 views)
Book cover: An Introduction to Riemannian Geometry with Applications to Mechanics and RelativityAn Introduction to Riemannian Geometry with Applications to Mechanics and Relativity
by
Contents: Differentiable Manifolds; Differential Forms; Riemannian Manifolds; Curvature; Geometric Mechanics; Relativity (Galileo Spacetime, Special Relativity, The Cartan Connection, General Relativity, The Schwarzschild Solution).
(10795 views)
Book cover: Lectures on Geodesics in Riemannian GeometryLectures on Geodesics in Riemannian Geometry
by - Tata Institute of Fundamental Research
The main topic of these notes is geodesics. Our aim is to give a fairly complete treatment of the foundations of Riemannian geometry and to give global results for Riemannian manifolds which are subject to geometric conditions of various types.
(10939 views)
Book cover: Complex Analysis on Riemann SurfacesComplex Analysis on Riemann Surfaces
by - Harvard University
Contents: Maps between Riemann surfaces; Sheaves and analytic continuation; Algebraic functions; Holomorphic and harmonic forms; Cohomology of sheaves; Cohomology on a Riemann surface; Riemann-Roch; Serre duality; Maps to projective space; etc.
(15778 views)