Results 21 to 30 of about 12,561 (233)

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

Simplexes in Riemannian manifolds [PDF]

open access: yesProceedings of the American Mathematical Society, 1993
Existence of a simplex with prescribed edge lengths in Euclidean, spherical, and hyperbolic spaces was studied recently. A simple sufficient condition of this existence is, roughly speaking, that the lengths do not differ too much. We extend these results to Riemannian
openaire   +2 more sources

The Seiberg-Witten equations on 3-manifolds with boundary [PDF]

open access: yes, 1999
The Seiberg-Witten equations have proved to be quite powerful in studying smooth 4-manifolds since their landing in 1994. The corresponding Seiberg-Witten theory on closed 3-manifolds can either be obtained by a dimension reduction from the four ...
Yang, Qing
core   +1 more source

On Pseudo-Petrov Symmetric Riemannian Manifolds

open access: yesAdvances in Mathematical Physics, 2016
The present paper deals with pseudo-Petrov symmetric Riemannian manifolds whose space-matter tensor satisfies a special condition. Firstly, basic results of pseudo-Petrov symmetric Riemannian manifolds are obtained.
Sanjib Kumar Jana   +3 more
doaj   +1 more source

A Survey on Riemannian Curvature Tensor for Certain Classes of Almost Contact Metric Manifolds [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة
This paper is survey the components of Riemannian curvature tensor over the associated space of G-structures for certain classes of almost contact metric manifolds.
Mohammed Abass
doaj   +1 more source

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

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

Riemannian Maps To Almost Hermitian Manifolds [PDF]

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

LARGE SOLUTIONS FOR YAMABE AND SIMILAR PROBLEMS ON DOMAINS IN RIEMANNIAN MANIFOLDS [PDF]

open access: yes, 2011
We present a unified approach to study large positive solutions (i.e., u(x) -> infinity as x -> partial derivative Omega) of the equation Delta u + hu - k psi(u) = -f in an arbitrary domain Omega.
Martin Dindoš, Dindos, Martin; id_orcid
core   +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

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