Results 71 to 80 of about 1,171 (162)

Indefinite Almost Paracontact Metric Manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
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

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

A note on Laplacian bounds, deformation properties, and isoperimetric sets in metric measure spaces

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
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

open access: yesExtracta Mathematicae
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

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2017
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

open access: yesMathematics, 2019
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

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 2, August 2025.
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

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
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]

open access: yes, 2012
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]

open access: yes, 2017
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

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