Results 111 to 120 of about 288,229 (268)

On One-Parameter Families of Dido Riemannian Problems [PDF]

arXiv, 1999
Locally, isoperimetric problems on Riemannian surfaces are sub-Riemannian problems in dimension 3. The particular case of Dido problems corresponds to a class of singular contact sub-Riemannian metrics : metrics which have the charateristic vertor field as symmetry. We give a classification of the generic conjugate loci (i.e.
arxiv  

Low dimensional Singular Riemannian Foliations in spheres [PDF]

arXiv, 2012
Singular Riemannian Foliations are particular types of foliations on Riemannian manifolds, in which leaves locally stay at a constant distance from each other. Singular Riemannian Foliations in round spheres play a special role, since they provide "infinitesimal information" about general Singular Riemannian Foliations.
arxiv  

Anti-invariant Riemannian Submersions [PDF]

arXiv, 2015
We give a general Lie-theoretic construction for anti-invariant almost Hermitian Riemannian submersions, anti-invariant quaternion Riemannian submersions, anti-invariant para-Hermitian Riemannian submersions, anti-invariant para-quaternion Riemannian submersions, and anti-invariant octonian Riemannian submersions.
arxiv  

On a type of semi-sub-Riemannian connection on a sub-Riemannian manifold [PDF]

arXiv, 2013
The authors first in this paper define a semi-symmetric metric non-holonomic connection (called in briefly a semi-sub-Riemannian connection) on sub-Riemannian manifolds, and study the relations between sub-Riemannian connections and semi-sub-Riemannian connections. An invariant under a connection transformation $\nabla\rightarrow D$ is obtained.
arxiv  

Sub-Riemannian cubics in SU(2) [PDF]

arXiv, 2017
Sub-Riemannian cubics are a generalisation of Riemannian cubics to a sub-Riemannian manifold. Cubics are curves which minimise the integral of the norm squared of the covariant acceleration. Sub-Riemannian cubics are cubics which are restricted to move in a horizontal subspace of the tangent space.
arxiv  

A note on closed vector fields

AIMS Mathematics
Special vector fields, such as conformal vector fields and Killing vector fields, are commonly used in studying the geometry of a Riemannian manifold. Though there are Riemannian manifolds, which do not admit certain conformal vector fields or certain ...
Nasser Bin Turki , Sharief Deshmukh , Olga Belova   +2 more
doaj   +1 more source

On the differential geometry of tangent bundles of Riemannian manifolds [PDF]

, 1958
Shigeo Sasaki
openalex   +1 more source

On Riemannian submersions [PDF]

arXiv, 2019
We prove that the image of a real analytic Riemannian manifold under a smooth Riemannian submersion is necessarily real analytic.
arxiv  

Geometry of Foliated Manifolds

Extracta Mathematicae, 2016
In this paper some results of the authors on geometry of foliated manifolds are stated and results on geometry of Riemannian (metric) foliations are discussed.
A.Ya. Narmanov, A.S. Sharipov
doaj  

Combinatorial Optimization with Information Geometry: The Newton Method

Entropy, 2014
e discuss the use of the Newton method in the computation of max(p → Εp [f]), where p belongs to a statistical exponential family on a finite state space.
Luigi Malagò, Giovanni Pistone
doaj   +1 more source