Results 11 to 20 of about 409 (182)

Invariant Submanifolds of a Lorentzian β-Kenmotsu Manifold

open access: yesAmesia
In this paper we have investigated invariant submanifolds of Lorentzian β-Kenmotsu manifolds and obtained the necessary and sufficient conditions for total geodesic submanifolds of Lorentzian β-Kenmotsu manifolds.
Tuğba Mert, Mehmet Atçeken
doaj   +2 more sources

Conformal Invariants of Submanifolds [PDF]

open access: yesProceedings of the American Mathematical Society, 1977
A local conformal invariant and a global conformal invariant of a submanifold immersed in a Euclidean space are derived.
Hsiung, Chuan-Chih, Mugridge, Larry R.
openaire   +2 more sources

Geometry of Warped Product CR and Semi-Slant Submanifolds in Quasi-Para-Sasakian Manifolds

open access: yesInternational Journal of Analysis and Applications, 2022
In the present paper we study the existence or non-existence of warped product semi-slant submanifolds in quasi-para-Sasakian manifolds and prove that there are no proper warped product semi-slant submanifolds in a quasi-para-Sasakian manifold such that ...
Shamsur Rahman   +2 more
doaj   +1 more source

Contact pseudo-slant submanifolds of a para-Sasakian manifold according to type 1, type 2, type 3 cases

open access: yesJournal of Amasya University the Institute of Sciences and Technology, 2023
This paper aims to present work on contact pseudo-slant submanifolds of para-Sasakian manifolds. The study includes the definitions and some results on type 1, type 2, and type 3 contact pseudo-slant submanifolds.
Hüseyin Yiğit, Süleyman Dirik
doaj   +1 more source

Global Conformal Invariants of Submanifolds [PDF]

open access: yesAnnales 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

Totally geodesic submanifolds of a trans-Sasakian manifold; pp. 249–257 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2013
We consider invariant submanifolds of a trans-Sasakian manifold and obtain the conditions under which the submanifolds are totally geodesic. We also study invariant submanifolds of a trans-Sasakian manifold satisfying Z(X, Y).h = 0, where Z is the ...
Avik De
doaj   +1 more source

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

open access: yesArab 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

open access: yesAdvances 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

open access: yesJournal 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   +2 more
doaj   +1 more source

Localization for Invariant Submanifolds [PDF]

open access: yesMathematical 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

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