**Riemannian Geometry**

by Ilkka Holopainen, Tuomas Sahlsten

2013**Number of pages**: 102

**Description**:

Based on the lecture notes on differential geometry. From the table of contents: Differentiable manifolds, a brief review; Riemannian metrics; Connections; Geodesics; Curvature; Jacobi fields; Curvature and topology; Comparison geometry; The sphere theorem.

Download or read it online for free here:

**Download link**

(1.3MB, PDF)

## Similar books

**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.

(

**8045**views)

**Riemannian Geometry: Definitions, Pictures, and Results**

by

**Adam Marsh**-

**arXiv**

A pedagogical but concise overview of Riemannian geometry is provided in the context of usage in physics. The emphasis is on defining and visualizing concepts and relationships between them, as well as listing common confusions and relevant theorems.

(

**5397**views)

**A Sampler of Riemann-Finsler Geometry**

by

**D. Bao, R. Bryant, S. Chern, Z. Shen**-

**Cambridge University Press**

Finsler geometry generalizes Riemannian geometry in the same sense that Banach spaces generalize Hilbert spaces. The contributors consider issues related to volume, geodesics, curvature, complex differential geometry, and parametrized jet bundles.

(

**12431**views)

**Treatise on Differential Geometry and its role in Relativity Theory**

by

**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.

(

**1093**views)