Results 51 to 60 of about 345 (143)

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, Akram Ali, Fatemah Mofarreh, Abimbola Abolarinwa, Rifaqat Ali   +4 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

On generalized Sasakian-space-forms [PDF]

, 2004
We study contact metric and trans-Sasakian generalized Sasakian-space-forms. We also give some interesting examples of generalized Sasakian-space-forms by using warped products and conformal changes of metric.Ministerio de Educación y CienciaFondo ...
Alegre Rueda, Pablo Sebastián, Carriazo Rubio, Alfonso, Blair, David E.   +2 more
core  

A Closed Form for Slant Submanifolds of Generalized Sasakian Space Forms [PDF]

Mathematics, 2019
The Maslov form is a closed form for a Lagrangian submanifold of C m , and it is a conformal form if and only if M satisfies the equality case of a natural inequality between the norm of the mean curvature and the scalar curvature, and it happens if and only if the second fundamental form satisfies a certain relation.
Alegre Rueda, Pablo Sebastián, Barrera López, Joaquín, Carriazo Rubio, Alfonso   +2 more
openaire   +3 more sources

Geometric Analysis of η‐Ricci Bourguignon Solitons on Para‐Sasakian Manifolds With Semisymmetric Nonmetric Connection (SSNMC) on the Tangent Bundle

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate the geometric properties of η‐Ricci–Bourguignon (η‐RB) solitons on para‐Sasakian manifolds equipped with a semisymmetric nonmetric connection (SSNMC). By employing the complete lift on the tangent bundle, we derive curvature relations, Ricci identities, Ricci flow, and the corresponding η‐RB soliton equations for the ...
Lalnunenga Colney, Dalal Alhwikem, Teg Alam, Anowar Hussain Sadiyal, Smritijit Sen   +4 more
wiley   +1 more source

The base of warped product submanifolds of Sasakian space forms characterized by differential equations

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, Ravi P. Agrawal, Fatemah Mofarreh, Nadia Alluhaibi   +3 more
doaj   +1 more source

Curvature and Solitonic Structures of Para‐Sasakian Manifolds With Schouten–van Kampen Connection on the Tangent Bundle

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the complete lift of para‐Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η‐Ricci solitons in the lifted setting.
Lalnunenga Colney, Dalal Alhwikem, Teg Alam, Murat Altunbaş   +3 more
wiley   +1 more source

Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential Equations

Journal of Mathematics, 2021
In the present paper, we establish a Chen–Ricci inequality for a C-totally real warped product submanifold Mn of Sasakian space forms M2m+1ε. As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via ...
Fatemah Mofarreh, Akram Ali, Nadia Alluhaibi, Olga Belova   +3 more
doaj   +1 more source

Novel Theorems on Spacetime Admitting Pseudo‐W2 Curvature Tensor

Journal 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, Prabhawati Bhagat, Mohammad Nazrul Islam Khan, Ljubisa Kocinac   +3 more
wiley   +1 more source

A Basic Inequality for the Tanaka-Webster Connection

Journal of Applied Mathematics, 2012
For submanifolds tangent to the structure vector field in Sasakian space forms, we establish a Chen's basic inequality between the main intrinsic invariants of the submanifold (namely, its pseudosectional curvature and pseudosectional curvature on one ...
Dae Ho Jin, Jae Won Lee
doaj   +1 more source