Examples of 'riemannian' in a sentence

Meaning of "riemannian"

Riemannian as an adjective relates to the mathematical concepts associated with the work of the German mathematician Bernhard Riemann
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  • Of or relating to the work, or theory developed from the work, of German mathematician Bernhard Riemann, especially to Riemannian manifolds and Riemannian geometry.
  • Relating to the musical theories of German theorist Hugo Riemann, particularly his theory of harmony, which is characterised by a system of "harmonic dualism".
  • One who uses or supports the work of German mathematician Bernhard Riemann.
  • Alternative letter-case form of Riemannian

How to use "riemannian" in a sentence

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riemannian
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.
Riemannian differential geometry.
This work aims to implement some concepts of riemannian geometry in the mathematica software.
Riemannian symmetric space.
Such examples are found in any neighborhood of the canonical riemannian metric on these manifolds.
Riemannian symmetric spaces arise in a wide variety of situations in both mathematics and physics.
In particular it admits a Riemannian metric of constant curvature.
Riemannian manifolds with special holonomy play an important role in string theory compactifications.
He worked in differential geometry and Riemannian geometry.
Riemannian framework for tensors has been proposed successfully in tensor estimation and processing.
This is a property of a two dimensional Riemannian manifold.
This Riemannian framework is therefore particularly attractive in theory.
This is to say that the universe is Riemannian.

See also

In a simply connected complete Riemannian manifold with nonpositive.
A Riemannian metric on a manifold allows distances and angles to be measured.
The data is uniformly distributed on Riemannian manifold.
The study of Riemannian holonomy has led to a number of important developments.
This is known as duality for Riemannian symmetric spaces.
Geometric and topological properties of submanifolds and foliations of Riemannian.
Every harmonic morphism between Riemannian manifolds is harmonic.
Riemannian manifolds are special cases of the more general Finsler manifolds.
An important special case of a metric connection is a Riemannian connection.
He has made contributions to Riemannian geometry and geometric topology.
Subharmonic functions can be defined on an arbitrary Riemannian manifold.
Such curved spaces include Riemannian geometry as a general example.
The splitting theorem is a classical theorem in Riemannian geometry.
A closed geodesic on a Riemannian manifold is a closed curve that is also geodesic.
Any differentiable manifold can be given a Riemannian structure.
Smooth surfaces equipped with Riemannian metrics are of foundational importance in differential geometry.
This has a number of important applications in Riemannian geometry.
The Riemannian structure allows one to define the length of such curves.
Every paracompact differentiable manifold admits a Riemannian metric.
These are central examples in Riemannian geometry of manifolds with nonpositive sectional curvature.
The subject founded by this work is Riemannian geometry.
All compact Riemannian manifolds and all homogeneous manifolds are geodesically complete.
The resulting algorithm is known as Riemannian conjugate gradient.
These isospectral Riemannian manifolds have the same local geometry but different topology.
Uniformly quasiregular mappings and elliptic Riemannian manifolds.
Sasaki metric a natural choice of Riemannian metric on the tangent bundle of Riemannian manifold.
We describe how the spectrum determines a Riemannian manifold.
The isometry group of a compact Riemannian manifold with negative Ricci curvature is discrete.
The mathematics of general relativity uses Riemannian geometry.
The decomposition and classification of Riemannian holonomy has applications to physics and to string theory.
Polar coordinates provide a number of fundamental tools in Riemannian geometry.
We consider a solid body modelled by a Riemannian manifold endowed with an affine connection.
Ellis proposed a proof of this equation in the context of Riemannian geometry.
Geodesics are commonly seen in the study of Riemannian geometry and more generally metric geometry.
This motivates the definition of geodesic normal coordinates on a Riemannian manifold.

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