Results 71 to 80 of about 1,171 (162)
Indefinite Almost Paracontact Metric Manifolds
We introduce the concept of (ε)-almost paracontact manifolds, and in particular, of (ε)-para-Sasakian manifolds. Several examples are presented. Some typical identities for curvature tensor and Ricci tensor of (ε)-para Sasakian manifolds are obtained. We
Mukut Mani Tripathi +3 more
doaj +1 more source
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
A note on Laplacian bounds, deformation properties, and isoperimetric sets in metric measure spaces
Abstract In the setting of length PI spaces satisfying a suitable deformation property, it is known that each isoperimetric set has an open representative. In this paper, we construct an example of a length PI space (without the deformation property) where an isoperimetric set does not have any representative whose topological interior is nonempty ...
Enrico Pasqualetto, Tapio Rajala
wiley +1 more source
A study on W9-curvature tensor within the framework of Lorentzian para-Sasakian manifold
This article focuses on the study of Lorentzian para-Sasakian manifolds Mn . It demonstrates that a W9-semisymmetric Lorentzian para-Sasakian manifold is a W9-flat manifold.
G.P. Singh, S.S. Mishra, P. Sharma
doaj +1 more source
On Almost Generalized Weakly Symmetric LP-Sasakian Manifolds
The purpose of this paper is to introduce the notions of an almost generalized weakly symmetric LP-Sasakian manifolds and an almost generalized weakly Ricci-symmetric LP-Sasakian manifolds.
Baishya Kanak Kanti +1 more
doaj +1 more source
On Generalized D-Conformal Deformations of Certain Almost Contact Metric Manifolds
In this work, we consider almost contact metric manifolds. We investigate the generalized D-conformal deformations of nearly K-cosymplectic, quasi-Sasakian and β -Kenmotsu manifolds.
Nülifer Özdemir +2 more
doaj +1 more source
Global eigenfamilies on closed manifolds
Abstract We study globally defined (λ,μ)$(\lambda,\mu)$‐eigenfamilies on closed Riemannian manifolds. Among others, we provide (non‐)existence results for such eigenfamilies, examine topological consequences of the existence of eigenfamilies and classify (λ,μ)$(\lambda,\mu)$‐eigenfamilies on flat tori. It is further shown that for f=f1+if2$f=f_1+i f_2$
Oskar Riedler, Anna Siffert
wiley +1 more source
Simply connected positive Sasakian 5‐manifolds
Abstract We investigate closed simply connected 5‐manifolds capable of hosting positive Sasakian structures. We present a conjectural comprehensive list of such manifolds.
Dasol Jeong, Jihun Park, Joonyeong Won
wiley +1 more source
Special Trans-Sasakian Manifolds and Curvature Conditions [PDF]
In this paper a special type of trans-Sasakian manifolds called -trans-Sasakian manifolds are studied. We present some general results for sectional curvatures of higher dimensional -trans-Sasakian manifolds and establish relations among the sectional ...
Somashekhara, G., Nagaraja, H.G.
core
On nearly Sasakian and nearly cosymplectic manifolds [PDF]
We prove that every nearly Sasakian manifold of dimension greater than five is Sasakian. This provides a new criterion for an almost contact metric manifold to be Sasakian.
DILEO, GIULIA +7 more
core +1 more source

