Riemannian geometry

This has a number of important applications in Riemannian geometry.

General Riemannian geometry falls outside the boundaries of the program.

Such curved spaces include Riemannian geometry as a general example.

His works are concentrated in Riemannian geometry "in the large".

This article is about the concept in Riemannian geometry.

The subject founded by this work is Riemannian geometry.

This expression is called the fundamental theorem of Riemannian geometry.

It was not until much later that holonomy groups would be used to study Riemannian geometry in a more general setting.

Polar coordinates provide a number of fundamental tools in Riemannian geometry.

Application of constraint counting to Riemannian geometry and to general relativity.

(see also the list of formulas in Riemannian geometry).

What follows is an incomplete list of the most classical theorems in Riemannian geometry.

Many concepts of Riemannian geometry can be applied.

His many interests include classical harmonic analysis and stochastic Riemannian geometry.

It vanishes for the case of Riemannian geometry.

Historically, connections were studied from an infinitesimal perspective in Riemannian geometry.

Affine connections from the point of view of Riemannian geometry.

This led him to study Riemannian geometry, and to formulate general relativity in this language.

Symmetric spaces play an important role in the study of Lie groups and Riemannian geometry.

The geometry of a n-dimensional space can also be described with Riemannian geometry.

Berger, Marcel: Riemannian geometry during the second half of the twentieth century.

It relies on a number of techniques and inequalities of global Riemannian geometry.

These are called (geodesic) normal coordinates, and are often used in Riemannian geometry.

This is a mixture of attitudes from Riemannian geometry, and the Erlangen program.

On the other hand, there are many theorems in Riemannian geometry which do not hold in the generalized case.