Results 151 to 160 of about 769 (170)

INTEGRAL FORMULAS FOR ANTI-INVARIANT SUBMANIFOLDS OF A SASAKIAN SPACE FORM

Acta Mathematica Scientia, 1999
Recall 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, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Biharmonic anti-invariant submanifolds in Sasakian space forms

2007
The 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, ARSLAN, KADRİ, EZENTAŞ, RIDVAN, Toru, Sasahara   +3 more
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Impact of almost $\eta$-Ricci-Bourguignon solitons on anti-invariant submanifolds of trans-Sasakian manifolds coupled with generalized symmetric non-metric connection of type $(\alpha,\beta)$

Uzbek Mathematical Journal
We classify almost $\eta$-Ricci-Bourguignon solitons on anti-invariant submanifolds of trans-Sasakian manifolds admitting a generalized symmetric non-metric connection of type $(\alpha,\beta)$. Certain results of such solitons on submanifolds of trans-Sasakian manifolds with respect to a generalized symmetric non-metric connection (GSNM) of type ...
Rajesh Mishra, Sunil Yadav
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On anti-invariant submanifolds of cosymplectic manifolds

1983
Let M be a \((2m+1)\)-dimensional cosymplectic manifold, i.e. M has a normal almost contact metric structure (\(\Phi\),\(\xi\),\(\eta\),g) for which both the 1-form \(\eta_ i\) and the 2-form \(\Phi_{ji}\) are closed. For such a structure the notions of vanishing cosymplectic Bochner curvature tensor, constant \(\Phi\)-holomorphic sectional curvature ...
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ANTI-INVARIANT SUBMANIFOLDS

Bulletin of the London Mathematical Society, 1979
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Characterizations for an invariant submanifold of an almost α-cosymplectic (κ,μ,ν)-space to be totally geodesic

Filomat, 2022
Mehmet Atc̣Eken
exaly  

Geometric inequalities of $ \mathcal{PR} $-warped product submanifold in para-Kenmotsu manifold

AIMS Mathematics, 2022
Fatemah Mofarreh, S K Srivastava, Akram Ali   +2 more
exaly  

A Riemannian Invariant and its Applications to Submanifold Theory

Resultate Der Mathematik, 2013
Bang-Yen Chen, Chen Bang-Yen
exaly  

Anti-invariant submanifolds with parallel image of the tangent bundle in a Kähler space

Let M be an m-dimensional anti-invariant submanifold of the 2n- dimensional Kaehler manifold (M ,g,F) such that the m-dimensional differential system defined by \(FT_ x(M)\), x in M, is parallel with respect to the normal connection [for this notion, see Bang-Yen Chen, Geometry of submanifolds (1973; Zbl 0262.53036) p. 180].
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