Results 41 to 50 of about 1,053 (160)
A Note on LP-Sasakian Manifolds with Almost Quasi-Yamabe Solitons
We categorize almost quasi-Yamabe solitons on LP-Sasakian manifolds and their CR-submanifolds whose potential vector field is torse-forming, admitting a generalized symmetric metric connection of type α,β.
Sunil Kumar Yadav +2 more
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A Note on Doubly Warped Product Contact CR-Submanifolds in trans-Sasakian Manifolds
Warped product CR-submanifolds in Kaehlerian manifolds were intensively studied only since 2001 after the impulse given by B.Y. Chen. Immediately after, another line of research, similar to that concerning Sasakian geometry as the odd dimensional version
A. Gray +10 more
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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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Normal holonomy of CR submanifolds
We study the normal holonomy group, i.e. the holonomy group of the normal connection, of a CR-submanifold of a complex space form. We show that the normal holonomy group of a coisotropic submanifold acts as the holonomy representation of a Riemannian symmetric space.
Vittone, Francisco, Di Scala, Antonio J.
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Ruled CR-submanifolds of locally conformal K\"{a}hler manifolds
The purpose of this paper is to study the canonical totally real foliations of CR-submanifolds in a locally conformal K\"{a}hler manifold.Comment: 10 pages, Journal of Geometry and Physics (to ...
Barletta +25 more
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CR-hypersurfaces of complex projective space
We consider compact n-dimensional minimal foliate CR-real submanifolds of a complex projective space. We show that these submanifolds are great circles on a 2-dimensional sphere provided that the square of the length of the second fundamental form is ...
M. A. Bashir
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A General Inequality for CR-Warped Products in Generalized Sasakian Space Form and Its Applications
In the present paper, by considering the Gauss equation in place of the Codazzi equation, we derive new optimal inequality for the second fundamental form of CR-warped product submanifolds into a generalized Sasakian space form.
Yanlin Li, Akram Ali, Rifaqat Ali
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Cohomology of CR-submanifolds [PDF]
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Contact CR Submanifolds of maximal Contact CR dimension of Sasakian Space Form
In this paper, we investigate contact CR submanifolds of contact CR dimension in Sasakian space form and introduce the general structure of these submanifolds and then studying structures of this submanifols with the condition h(FX,Y)+h(X,FY)=g(FX,Y ...
Mohammad Ilmakchi, Esmaiel Abedi
doaj
Geometry of CR-Slant Warped Products in Nearly Kaehler Manifolds
Recently, we studied CR-slant warped products B1×fM⊥, where B1=MT×Mθ is the Riemannian product of holomorphic and proper slant submanifolds and M⊥ is a totally real submanifold in a nearly Kaehler manifold. In the continuation, in this paper, we study B2×
Siraj Uddin, Bang-Yen Chen, Rawan Bossly
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