Results 11 to 20 of about 409 (182)
Invariant Submanifolds of a Lorentzian β-Kenmotsu Manifold
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
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Conformal Invariants of Submanifolds [PDF]
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.
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Geometry of Warped Product CR and Semi-Slant Submanifolds in Quasi-Para-Sasakian Manifolds
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
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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
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Global Conformal Invariants of Submanifolds [PDF]
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
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Totally geodesic submanifolds of a trans-Sasakian manifold; pp. 249–257 [PDF]
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
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Some remarks on invariant lightlike submanifolds of indefinite Sasakian manifold [PDF]
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
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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
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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
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Localization for Invariant Submanifolds [PDF]
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.
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