Results 51 to 60 of about 4,004 (122)
Rigidity of Minimal Legendrian Submanifolds in Sasakian Space Forms
Journal 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
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Magnetic Frenet curves on para-Sasakian manifolds
Filomat, 2023 The study of magnetic curves, seen as solutions of Lorentz equation, has been done mainly in 3-dimensional case, motivated by theoretical physics. Then it was extended in higher dimensions, as for instance in K?hlerian or Sasakian frame. This paper deals for the first time in literature with magnetic Frenet curves in higher dimensional paracontact ...
Cornelia-Livia Bejan +2 more
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Journal 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
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On $(\varepsilon)$-para Sasakian 3-manifolds
, 2009 12 ...
Perktaş, Selcen Yüksel +3 more
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Geometric Characterizations of Riemann Solitons
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we find the geometric characterizations of Riemann solitons within the background of co‐Kähler manifolds admitting semisymmetric metric ζ‐connection. Let (g, V) be a Riemann soliton on a co‐Kähler manifold M admitting a semisymmetric metric ζ‐connection.
Abdul Haseeb +4 more
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Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold
International Journal of Mathematics and Mathematical Sciences, 1984 It is proved that any co-isotropic submanifold M of a pseudo-Sasakian manifold M˜(U,ξ,η˜,g˜) is a CR submanifold (such submanfolds are called CICR submanifolds) with involutive vertical distribution ν1.
Vladislav V. Goldberg, Radu Rosca
doaj +1 more source
A note on Laplacian bounds, deformation properties, and isoperimetric sets in metric measure spaces
Journal 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
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On -Recurrent Para-Sasakian Manifold AdmittingQuarter-Symmetric Metric Connection
, 2012 We obtained the relation between the Riemannian connection and the quarter-symmetric metric connection on a para-Sasakian manifold. Further, we study 𝜙-recurrent and concircular 𝜙-recurrent para-Sasakian manifolds with respect to quarter-symmetric metric
K. Kumar, Venkatesha, C. Bagewadi
semanticscholar +1 more source
Global eigenfamilies on closed manifolds
Journal 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
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Hypersurfaces of Lorentzian para-Sasakian manifolds
MATHEMATICA SCANDINAVICA, 2011 In this paper we study the invariant and noninvariant hypersurfaces of $(1,1,1)$ almost contact manifolds, Lorentzian almost paracontact manifolds and Lorentzian para-Sasakian manifolds, respectively. We show that a noninvariant hypersurface of an $(1,1,1)$ almost contact manifold admits an almost product structure.
Perktas, Selcen Yuksel +2 more
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