Results 11 to 20 of about 544 (183)

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

Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold [PDF]

Mathematica Bohemica, 2022
The present paper deals with the study of some properties of anti-invariant submanifolds of trans-Sasakian manifold with respect to a new non-metric affine connection called Zamkovoy connection.
Payel Karmakar
doaj   +1 more source

Estimation of sharp geometric inequality in \(D_{\alpha}\)-homothetically deformed Kenmotsu manifolds

Cubo, 2023
In this article, we investigate the Kenmotsu manifold when applied to a \(D_{\alpha}\)-homothetic deformation. Then, given a submanifold in a \(D_{\alpha}\)-homothetically deformed Kenmotsu manifold, we derive the generalized Wintgen inequality ...
Mohd Danish Siddiqi, Aliya Naaz Siddiqui, Ali H. Hakami, M. Hasan   +3 more
doaj   +1 more source

Skew semi-invariant submanifolds of generalized quasi-Sasakian manifolds

Karpatsʹkì Matematičnì Publìkacìï, 2018
In the present paper,  we study a new class of submanifolds of a generalized Quasi-Sasakian manifold, called skew semi-invariant submanifold. We obtain integrability conditions of the distributions on a skew semi-invariant submanifold and also find the ...
M.D. Siddiqi, A. Haseeb, M. Ahmad
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

Some solitons on anti-invariant submanifold of LP-Kenmotsu manifold admitting Zamkovoy connection [PDF]

Journal of Hyperstructures
In this paper we prove some curvature properties of anti-invariant submanifold of Lorentzian para-Kenmotsu manifold (briefly, LP-Kenmotsu manifolds) with respect to Zamkovoy connection (∇∗).
Abhijit Mandal, Meghlal Mallik
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

Totally umbilical proper slant submanifolds of para-Kenmotsu manifold

Cubo, 2019
In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of
M.S. Siddesha, C.S. Bagewadi, D. Nirmala
doaj   +1 more source

M5 branes on ℝ1,1 ×Taub-NUT

Journal of High Energy Physics, 2022
We study M5 branes on ℝ1,1 ×Taub-NUT that we view as a singular fibration. Reducing the M5 branes along the fiber gives 5d SYM. Due to the singularity, this 5d theory has a gauge anomaly and it is not supersymmetric.
Andreas Gustavsson
doaj   +1 more source

On Nearly Sasakian and Nearly Kähler Statistical Manifolds

Mathematics, 2023
In this paper, we introduce the notions of nearly Sasakian and nearly Kähler statistical structures with a non-trivial example. The conditions for a real hypersurface in a nearly Kähler statistical manifold to admit a nearly Sasakian statistical ...
Siraj Uddin, Esmaeil Peyghan, Leila Nourmohammadifar, Rawan Bossly   +3 more
doaj   +1 more source