Results 21 to 30 of about 1,183 (218)

Global Conformal Invariants of Submanifolds [PDF]

Annales de l'Institut Fourier, 2018
The goal of the present paper is to investigate the algebraic structure of global conformal invariants of submanifolds. These are defined to be conformally invariant integrals of geometric scalars of the tangent and normal bundle. A famous example of a global conformal invariant is the Willmore energy of a surface.
Mondino, A, Nguyen, HT
openaire   +5 more sources

Invariant submanifolds in Sasakian manifolds

Mathematische Annalen, 1976
Masahiro Kon, Kon Masahiro
exaly   +2 more sources

Some remarks on invariant lightlike submanifolds of indefinite Sasakian manifold [PDF]

Arab Journal of Mathematical Sciences, 2022
Purpose – The author considers an invariant lightlike submanifold M, whose transversal bundle tr(TM) is flat, in an indefinite Sasakian manifold M¯(c) of constant φ¯-sectional curvature c. Under some geometric conditions, the author demonstrates that c=1,
Samuel Ssekajja
doaj   +1 more source

Study of Differential Equations on Warped Product Semi-Invariant Submanifolds of the Generalized Sasakian Space Forms

Advances in Mathematical Physics, 2021
The purpose of the present paper is to study the applications of Ricci curvature inequalities of warped product semi-invariant product submanifolds in terms of some differential equations.
Ibrahim Al-Dayel
doaj   +1 more source

Homology of Warped Product Semi-Invariant Submanifolds of a Sasakian Space Form with Semisymmetric Metric Connection

Journal of Mathematics, 2023
This paper focuses on the investigation of semi-invariant warped product submanifolds of Sasakian space forms endowed with a semisymmetric metric connection.
Ibrahim Al-Dayel, Meraj Ali Khan, Mohammad Shuaib   +2 more
doaj   +1 more source

Localization for Invariant Submanifolds [PDF]

Mathematical Research Letters, 2001
Let \( M \) be a smooth manifold with an equivariant formal circle action and \( W \) an invariant submanifold of \( M \) which does not contain the fixed points of the action. The author presents a new localization theorem which expresses the integration over \( W/S ^1 \) in terms of the integration over the set of fixed points of the action.
openaire   +2 more sources

A Note on Invariant Submanifolds of Metallic Riemannian Manifolds

, 2023
The goal of this paper is to examine invariant submanifolds in metallic Riemannian manifolds with the help of induced structures on them by the metallic Riemannian structure of the ambient manifold.
Gök, Mustafa, Mustafa GÖK
core   +1 more source

On invariant submanifolds of trans-Sasakian manifolds; pp. 29–37 [PDF]

Proceedings of the Estonian Academy of Sciences, 2012
The object of the present paper is to find necessary and sufficient conditions for invariant submanifolds of trans-Sasakian manifolds to be totally geodesic.
Avijit Sarkar, Matilal Sen
doaj   +1 more source

Invariant Submanifolds of Trans-Sasakian Manifolds [PDF]

Ukrainian Mathematical Journal, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bagewadi, C.S., Anitha, B.S.
openaire   +3 more sources

On geometry of warped product semi invariant submanifolds of nearly (ε, δ)-trans sasakian manifold with a certain connection [PDF]

Journal of Hyperstructures, 2023
In this paper, we study the geometry of warped product semi invariant submanifold of a nearly (ε, δ)-trans-Sasakianmanifold M with a quarter symmetric non metric connection. We see that warped product of the typeE⊥×yET is a usual Riemannian product of E⊥
Shamsur Rahman, Sabi Ahmad, Niranjan Kumar Mishra   +2 more
doaj   +1 more source