Results 21 to 30 of about 1,842 (194)

A Note on the Geometry of Certain Classes of Lichnerowicz Laplacians and Their Applications

open access: yesMathematics, 2023
In the present paper, we prove vanishing theorems for the null space of the Lichnerowicz Laplacian acting on symmetric two tensors on complete and closed Riemannian manifolds and further estimate its lowest eigenvalue on closed Riemannian manifolds.
Vladimir Rovenski   +2 more
doaj   +1 more source

Separability in Riemannian Manifolds [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2016
An outline of the basic Riemannian structures underlying the separation of variables in the Hamilton-Jacobi equation of natural Hamiltonian systems.
openaire   +3 more sources

On the Geometry of the Riemannian Curvature Tensor of Nearly Trans-Sasakian Manifolds

open access: yesAxioms, 2023
This paper presents the results of fundamental research into the geometry of the Riemannian curvature tensor of nearly trans-Sasakian manifolds. The components of the Riemannian curvature tensor on the space of the associated G-structure are counted, and
Aligadzhi R. Rustanov
doaj   +1 more source

On generalized semisymmetric Riemannian manifolds

open access: yesAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2013
There are several generalizations of the concept of semi-symmetric Riemannian manifolds. In the present paper, we consider some special types of generalized semi-symmetric Riemannian manifolds with positive or negative defined curvature operator or ...
Josef Mikes, Sergey E. Stepanov
doaj   +1 more source

Characterizing Humans on Riemannian Manifolds

open access: yesIEEE Transactions on Pattern Analysis and Machine Intelligence, 2013
In surveillance applications, head and body orientation of people is of primary importance for assessing many behavioral traits. Unfortunately, in this context people are often encoded by a few, noisy pixels so that their characterization is difficult.
TOSATO, DIEGO   +3 more
openaire   +4 more sources

Riemannian symmetries in flag manifolds [PDF]

open access: yesArchivum Mathematicum, 2012
Flag manifolds are in general not symmetric spaces. But they are provided with a structure of $\mathbb{Z}_2^k$-symmetric space. We describe the Riemannian metrics adapted to this structure and some properties of reducibility. We detail for the flag manifold $SO(5)/SO(2)\times SO(2) \times SO(1)$ what are the conditions for a metric adapted to the ...
PIU, MARIA PAOLA, REMM ELISABETH
openaire   +3 more sources

THE RIEMANNIAN MANIFOLD OF ALL RIEMANNIAN METRICS

open access: yesThe Quarterly Journal of Mathematics, 1991
The space of all Riemannian metrics on a smooth second countable finite dimensional manifold is itself a smooth manifold modeled on the space of symmetric (0,2)-tensor fields with compact support. It carries a canonical Riemannian metric which is invariant under the action of the diffeomorphism group.
Gil-Medrano, Olga, Michor, Peter W.
openaire   +3 more sources

Semi-Slant Submersions from Almost Product Riemannian Manifolds

open access: yesDemonstratio Mathematica, 2016
In this paper, we introduce semi-slant submersions from almost product Riemannian manifolds onto Riemannian manifolds. We give some examples, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion.
Gündüzalp Yılmaz
doaj   +1 more source

Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry

open access: yesAdvanced Nonlinear Studies, 2022
In this article, we establish a Gaffney type inequality, in Wℓ,p{W}^{\ell ,p}-Sobolev spaces, for differential forms on sub-Riemannian contact manifolds without boundary, having bounded geometry (hence, in particular, we have in mind noncompact manifolds)
Baldi Annalisa   +2 more
doaj   +1 more source

A remark on the metric dimension in Riemannian manifolds of constant curvature [PDF]

open access: yesAUT Journal of Mathematics and Computing
We compute the metric dimension of Riemannian manifolds of constant curvature. We define the edge weghited metric dimension of the geodesic graphs in Riemannian manifolds and we show that each complete geodesic graph $G=(V,E)$ embedded in a Riemannian ...
Shiva Heidarkhani Gilani   +2 more
doaj   +1 more source

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