The index and certain stability of minimal anti invariant submanifolds in Sasakian and Kahler Manifoldsopenaire
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Some Optimal Inequalities for Anti-invariant Submanifolds of the Unit Sphere
Journal of Geometric Analysis, 2023The paper deals with anti-invariant submanifolds of the unit sphere of dimension \((2n+1)\) equipped with the canonical Sasakian structure. As the main result, the authors establish a basic inequality for such submanifolds involving the norm of the covariant differentiation of both the second fundamental form and the mean curvature vector field ...
Jiabin Yin, Cheng Xing
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INTEGRAL FORMULAS FOR ANTI-INVARIANT SUBMANIFOLDS OF A SASAKIAN SPACE FORM
Acta Mathematica Scientia, 1999Recall that a Sasakian structure \((\phi, g, \xi, \eta)\) on a manifold \(N^{2m+1}\) is given by a \((1,1)\)-tensor \(\phi\), metric \(g\), vector field \(\xi\) and 1-form \(\eta\) such that \[ \phi^2 = - I + \phi \bigotimes\xi,\qquad \eta(\xi)=1, \qquad \phi\xi=0, \qquad \eta\circ\xi=0, \] \[ g(\phi X,\phi Y)=g(X,Y) - \eta(X)\eta(Y), \qquad \eta(X)=g ...
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A theorem on anti-invariant minimal submanifolds of an odd dimensional sphere
Acta Mathematica Hungarica, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M Kon
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Some characterizations of anti-invariant submanifolds of trans-sasakian manifolds
Asian-European Journal of Mathematics, 2021The object of this paper is to study anti-invariant submanifolds of trans-Sasakian manifolds. We characterize such submanifolds on the basis of parallelism, semi-parallelism and pseudo parallelism of the second fundamental form of the submanifolds. We also characterize totally umbilical anti-invariant submanifolds of trans-Sasakian manifolds. Existence
A. Sarkar, Pradip Bhakta, Matilal Sen
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On anti-invariant submanifolds in Sasakian manifolds with vanishing contact Bochner curvature tensor
Publicationes Mathematicae Debrecen, 2022Using scalar curvature estimates the author derives sufficient conditions for minimal anti-invariant submanifolds of Sasakian manifolds with vanishing contact Bochner curvature tensor to be totally geodesic.
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Biharmonic anti-invariant submanifolds in Sasakian space forms
2007The class of non-minimal biharmonic anti-invariant submanifolds in Sasakian space forms is investigated. A Sasakian space form is regarded as an odd dimensional analogue of a complex space form and is among the most important contact metric manifolds. Two main purposes are achieved in the paper.
MURATHAN, CENGİZHAN +3 more
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Submanifolds of generalized $$(k,\mu )$$ ( k , μ ) -space-forms
Periodica Mathematica Hungarica, 2018Shyamal Kumar Hui +2 more
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