Examples of 'riemannian geometry' in a sentence
Meaning of "riemannian geometry"
Riemannian geometry is a branch of mathematics that studies the properties and structures of smooth, curved spaces called manifolds. It builds upon the concept of differential geometry and focuses on measuring distances, angles, and other geometric properties in spaces with smooth, variable curvature
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- The branch of differential geometry that concerns Riemannian manifolds; an example of a geometry that involves Riemannian manifolds.
- Elliptical or spherical geometry.
How to use "riemannian geometry" in a sentence
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riemannian geometry
This work aims to implement some concepts of riemannian geometry in the mathematica software.
A great circle endowed with such a distance is called a Riemannian circle in Riemannian geometry.
He has made contributions to Riemannian geometry and geometric topology.
The splitting theorem is a classical theorem in Riemannian geometry.
Such curved spaces include Riemannian geometry as a general example.
This has a number of important applications in Riemannian geometry.
These are central examples in Riemannian geometry of manifolds with nonpositive sectional curvature.
He worked in differential geometry and Riemannian geometry.
Other generalizations of Riemannian geometry include Finsler geometry.
The mathematics of general relativity uses Riemannian geometry.
Riemannian geometry was first put forward in generality by Bernhard Riemann in the 19th century.
The subject founded by this work is Riemannian geometry.
Statistics and geometry, using Riemannian geometry tools to do statistics on non-vectorial data.
Polar coordinates provide a number of fundamental tools in Riemannian geometry.
Geodesics are commonly seen in the study of Riemannian geometry and more generally metric geometry.
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Ellis proposed a proof of this equation in the context of Riemannian geometry.
Eigenvalues in Riemannian geometry.
What follows is an incomplete list of the most classical theorems in Riemannian geometry.
The principles of Riemannian geometry are,.
The study of Riemannian manifolds constitutes the subject called Riemannian geometry.
Sub-Riemannian geometry can be seen as a generalization of Riemannian geometry under non-holonomic constraints.
This course will be an introduction to Riemannian Geometry.
Riemannian geometry studies Riemannian manifolds, smooth manifolds with a Riemannian metric.
Some nonlinear problems in Riemannian geometry.
Historically, connections were studied from an infinitesimal perspective in Riemannian geometry.
The rules of Riemannian geometry are,.
Clidean and non Euclidean geometry are particular cases of Riemannian geometry.
Category, Riemannian geometry.
My main area of interest is differential geometry, particularly Riemannian geometry.
Classical theorems in Riemannian geometry.
Cartan extended Einstein 's General relativity to Einstein-Cartan theory, using Riemannian-Cartan geometry instead of Riemannian geometry.
An exact replacement of Whitehead 's cosmology would need to admit a Riemannian geometry.
His area of work is geometry, especially differential geometry and Riemannian geometry.
The geometry of a n-dimensional space can also be described with Riemannian geometry.
In the first chapter, we give some definitions and recall some facts in Riemannian geometry.
The Myers theorem, also known as the Bonnet-Myers theorem, is a classical theorem in Riemannian geometry.
Until late 2002, Perelman was best known for his work in comparison theorems in Riemannian geometry.
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Examples of using Riemannian
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Phenomenon of bifurcation in yamabe problem on riemannian manifolds with boundary
A singular riemannian foliation in m is a singular foliation with locally equidistant leaves
The purpose of this thesis is to study singular elliptic problems in riemannian manifolds
