Results 61 to 70 of about 3,845 (153)

Symmetries of Contact Metric Manifolds

open access: yes, 2002
We study the Lie algebra of infinitesimal isometries on compact Sasakian and K--contact manifolds. On a Sasakian manifold which is not a space form or 3--Sasakian, every Killing vector field is an infinitesimal automorphism of the Sasakian structure. For
Belgun, Florin   +2 more
core   +3 more sources

Novel Theorems on Spacetime Admitting Pseudo‐W2 Curvature Tensor

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates spacetime manifolds admitting a pseudo‐W2 curvature tensor. We show that a pseudo‐W2 flat spacetime is an Einstein manifold and therefore has constant curvature. Moreover, when the manifold satisfies the Einstein field equations (EFE), with a cosmological constant, the associated energy–momentum tensor is covariantly constant ...
B. B. Chaturvedi   +3 more
wiley   +1 more source

On Some Types of Slant Submanifolds on Poly‐Norden Riemannian Manifolds

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
The goal of this paper is to study some types of slant submanifolds such as bislant submanifolds and quasi‐bislant submanifolds of poly‐Norden Riemannian manifolds. We obtain integrability conditions for the involved distribution in such submanifolds. Also, we obtain nontrivial examples on these types of submanifolds.
M. Aykut Akgün, Smritijit Sen
wiley   +1 more source

GENERALIZED RECURRENT LORENTZIAN SASAKIAN MANIFOLD

open access: yesCommunications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 2010
The purpose of this paper is to study generalizedLorentzian-recurrent-Sasakian ...
PRAKASHA, D.g., YILDIZ, A.
openaire   +2 more sources

Rigidity of Minimal Legendrian Submanifolds in Sasakian Space Forms

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper is concerned with the study on rigidity of minimal Legendrian submanifolds in Sasakian space forms under some certain geometric conditions, motivated by the classification of minimal Legendrian submanifolds with constant sectional curvature.
Dehe Li, Sicheng Li, Antonio Masiello
wiley   +1 more source

CR- Submanifolds of a Nearly Trans-Hyperbolic Sasakian Manifold with a Quarter Symmetric Semi Metric Connection

open access: yesJurnal Matematika, 2016
The object of the present paper is to initiate the study contact CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection.
Shamsur Rahman
doaj   +1 more source

Nilpotent Aspherical Sasakian Manifolds

open access: yesInternational Mathematics Research Notices
Abstract We show that every compact aspherical Sasakian manifold with nilpotent fundamental group is diffeomorphic to a Heisenberg nilmanifold.
Antonio De Nicola, Ivan Yudin
openaire   +4 more sources

On Lorentzian Trans-Sasakian manifolds

open access: yesCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2013
The object of the present paper is to study the Trans-Sasakianstructure on a manifold with Lorentzian metric. Several interesting results areobtained on the manifold. Also conformally *at Lorentzian Trans-Sasakianmanifolds have been studied. Next, in three- dimensional Lorentzian TransSasakian manifolds, explicit formulae for Ricci operator, Ricci ...
DE, U.c., DE, Krishnendu
openaire   +3 more sources

Optimization of Soliton Structures Using Lifting Theory on Tangent Bundles of Statistical Kenmotsu Manifolds

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we derive explicit expressions for the curvature tensor, Ricci operator, and scalar curvature. We analyze
Mohammad Nazrul Islam Khan   +3 more
wiley   +1 more source

Constructions in Sasakian Geometry

open access: yes, 2007
We describe various constructions in Sasakian geometry. First we generalize the join construction of the first two authors to arbitrary Sasakian manifolds.
Boyer, Charles P.   +2 more
core   +2 more sources

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