**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 Geometry**

by

**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.

(

**14418**views)

**Lectures notes on compact Riemann surfaces**

by

**Bertrand Eynard**-

**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.

(

**5314**views)

**Lectures on Geodesics in Riemannian Geometry**

by

**M. Berger**-

**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.

(

**9456**views)

**Riemannian Geometry**

by

**Richard L. Bishop**-

**arXiv**

These notes on Riemannian geometry use the bases bundle and frame bundle, as in Geometry of Manifolds, to express the geometric structures. It starts with the definition of Riemannian and semi-Riemannian structures on manifolds.

(

**9755**views)