Results 51 to 60 of about 275 (150)
Advances in Difference Equations, 2021 In the present paper, we find some characterization theorems. Under certain pinching conditions on the warping function satisfying some differential equation, we show that the base of warped product submanifolds of a Sasakian space form M ˜ 2 m + 1 ( ϵ )
Akram Ali +3 more
doaj +1 more source
Frontiers in Physics, 2022 This study attempts to establish new upper bounds on the mean curvature and constant sectional curvature of the first positive eigenvalue of the ψ − Laplacian operator on Riemannian manifolds.
Ali H. Alkhaldi +3 more
doaj +1 more source
On the Geometry of Biharmonic Submanifolds in Sasakian Space Forms [PDF]
, 2012 10 pages; Proposition 3.10 was improved; Contribution to the Proceedings of the 10-th International Conference on Geometry, Integrability and Quantization, Varna 2008 ...
Fetcu, Dorel, Oniciuc, Cezar
openaire +5 more sources
Generalized Wintgen inequality for BI-SLANT submanifolds in conformal Sasakian space form with quarter-symmetric connection [PDF]
Arab Journal of Mathematical SciencesPurpose – In 1979, P. Wintgen obtained a basic relationship between the extrinsic normal curvature the intrinsic Gauss curvature, and squared mean curvature of any surface in a Euclidean 4-space with the equality holding if and only if the curvature ...
Mohd Aslam +2 more
doaj +1 more source
Some Eigenvalues Estimate for the ϕ-Laplace Operator on Slant Submanifolds of Sasakian Space Forms
Journal of Function Spaces, 2021 This paper is aimed at establishing new upper bounds for the first positive eigenvalue of the ϕ-Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature.
Yanlin Li +4 more
doaj +1 more source
On Curvatures of Semi-invariant Submanifolds of Lorentzian Para-Sasakian Manifolds [PDF]
, 2023 A Lorentzian para-Sasakian (LP-Sasakian) space form is a kind of para-Sasakian manifold with constant φ− holomorphic sectional curvature. The presented paper is on the curvatures of semi-invariant submanifolds of an LP-Sasakian space form.
Sari, Ramazan, Ünal, İnan
core +1 more source
Reilly-type inequality for the Φ-Laplace operator on semislant submanifolds of Sasakian space forms
Journal of Inequalities and Applications, 2022 This paper aims to establish new upper bounds for the first positive eigenvalue of the Φ-Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature.
Yanlin Li +3 more
doaj +1 more source
A new curvature-like tensor in an almost contact Riemannian manifold
Pracì Mìžnarodnogo Geometričnogo Centru, 2016 In a M. Prvanović’s paper [5], we can find a new curvature-like tensor in an almost Hermitian manifold.In this paper, we define a new curvature-like tensor, named contact holomorphic Riemannian, briefly (CHR), curvature tensor in an almost ...
Koji Matsumoto
doaj +1 more source
An Invariant of Riemannian Type for Legendrian Warped Product Submanifolds of Sasakian Space Forms
Mathematics, 2023 In the present paper, we investigate the geometry and topology of warped product Legendrian submanifolds in Sasakian space forms D2n+1(ϵ) and obtain the first Chen inequality that involves extrinsic invariants like the mean curvature and the length of ...
Fatemah Abdullah Alghamdi +3 more
doaj +1 more source
The GJMS operators in geometry, analysis and physics
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley +1 more source