Results 31 to 40 of about 15,646,215 (77)

Separability in Riemannian Manifolds [PDF]

open access: yes, 2016
An outline of the basic Riemannian structures underlying the separation of variables in the Hamilton-Jacobi equation of natural Hamiltonian systems.This paper is a contribution to the Special Issue on Analytical Mechanics and Dif ferential Geometry in ...
Benenti, S.
core   +1 more source

Half-Lightlike Submanifolds of Metallic semi-Riemannian Manifolds

open access: yes, 1997
The aim of the present paper is to study half-lightlike submanifolds of a semi-Riemannian manifold endowed with a metallic structure. We introduce a special half-lightlike submanifold called screen semi-invariant half lightlike submanifold in metallic ...
Erdogan, Feyza Esra   +6 more
core   +1 more source

Concepts and examples in Riemannian geometry

open access: yes, 2021
In this paper, we explore various notations and definitions, in Riemannian Geometry, which were created during the past century. Next, we developed a few clear examples from the book RIEMANNIAN GEOMETRY written by Do Carmo and explain the article A THE ...

core   +1 more source

Spectral Geometry for Structural Pattern Recognition [PDF]

open access: yes, 2010
Graphs are used pervasively in computer science as representations of data with a network or relational structure, where the graph structure provides a flexible representation such that there is no fixed dimensionality for objects. However, the analysis
El Ghawalby, Heyayda   +1 more
core   +4 more sources

Structure Theorem for Riemannian surfaces with arbitrary curvature [PDF]

open access: yes, 2008
15 pages, 3 figures.-- MSC2000 codes: 53C20, 53C22, 58A99.-- ArXiv pre-print available at: http://arxiv.org/abs/0806.0090Previously presented as Poster at: X Encuentros de Análisis Real y Complejo (XEARCO'07, Palma de Mallorca, Spain, May 10-13, 2007 ...
Portilla, Ana   +2 more
core   +2 more sources

Riemannian Maps To Almost Hermitian Manifolds

open access: yes, 2017
In this chapter, we study Riemannian maps from Riemannian manifolds to almost Hermitian manifolds. In section 1, we study invariant Riemannian maps, that is, the image of derivative map is invariant under the almost complex structure of the base manifold.
Sahin, Bayram, Bayram Şahin
core   +1 more source

Degenerate Foliations in Sasakian Semi-Riemannian Manifolds [PDF]

open access: yes
In the Semi-Riemannian case we do not have the liability of the existence of such a metric being a difference from the Riemannian case. A Semi-Riemannian manifold provided with a normal contact metric structure is called Sasakian manifold.Semi-Riemannian,
Catalin Angelo Ioan
core  

Riemannian Maps From Almost Hermitian Manifolds

open access: yes, 2017
In this chapter, we study Riemannian maps from almost Hermitian manifolds to Riemannian manifolds. In section 1, we study holomorphic Riemannian maps as a generalization of holomorphic submersions and obtain a characterization of such maps. In section 2,
Sahin, Bayram, Bayram Şahin
core   +1 more source

A Pinching Theorem for Compact Minimal Submanifolds in Warped Products I×fSm(c)

open access: yes, 2020
Let Sm(c) be a Euclidean sphere of curvature c>0 and R be a Euclidean line. We prove a pinching theorem for compact minimal submanifolds immersed in Riemannian warped products of the type I×fSm(c), where f:I→R+ is a smooth positive function on an open
Zhonghua Hou, Xin Zhan
core   +1 more source

Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry [PDF]

open access: yes, 2010
Connes' noncommutative Riemannian distance formula is constructed in two steps, the first one being the construction of a path-independent geometrical functional using a global constraint on continuous functions. This paper generalizes this first step to
Nicolas Franco   +3 more
core   +1 more source

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