Results 1 to 10 of about 396 (146)
Generic intersections of differentiable submanifolds [PDF]
This paper has been withdrawn by the author because it can be easily obtained from the parametric transversality ...
Krzysztof Nowak
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INDEFINITE GENERALIZED SASAKIAN SPACE FORM ADMITTING A GENERIC LIGHTLIKE SUBMANIFOLD [PDF]
The geometry of an indefinite generalized Sasakian space form \(\bar{M}(f_1,f_2,f_3)\) admitting a generic light-like submanifold \(M\) such that the structure vector field \(\zeta\) of \(\bar{M}(f_1,f_2,f_3)\) is tangent to the submanifold is studied. A classification theorem of such an indefinite generalized Sasakian space form is given.
Dae Ho Jin
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Generic submanifolds in almost Hermitian manifolds [PDF]
A real submanifold M of an almost complex manifold \((M,J')\) is called a generic submanifold if dim J\({}'T_ xM\cap T_ xM\) is constant on M. In this article, the author proves that a generic submanifold of a complex manifold is a CR-manifold. She studies sufficient conditions for a real submanifold in a Kähler manifold to be generic.
Barbara Opozda
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Generalized complex submanifolds [PDF]
section 3 expanded, three sections added, 19 ...
Barton, James, Stiénon, Mathieu
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Some submanifolds of generalized Kenmotsu manifolds
In this paper, invariant submanifolds of a generalized Kenmotsu manifold are studied and given some properties. An example is constructed for an invariant submanifold of a generalized Kenmotsu manifold. In addition, integrabilities of invariant distribution is investigated, and some theorems are given related to curvature tensor and the second ...
Vanli A.T., Sari R.
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Generating Forms of Lagrangian Submanifolds [PDF]
A Lagrangian submanifold of a symplectic manifold is a submanifold for which the restriction of the symplectic form vanishes, and which in addition satisfies certain maximality conditions. Special symplectic manifolds are manifolds isomorphic to cotangent bundles.
Sniatycki, J., Tulczyjew, W. M.
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Biharmonic submanifolds of generalized space forms [PDF]
We consider biharmonic submanifolds in both generalized complex and Sasakian space forms. After giving the biharmonicity conditions for submanifolds in these spaces, we study different particular cases for which we obtain curvature estimates. We consider curves, complex and Lagrangian surfaces and hypersurfaces for the generalized complex space form as
Roth, Julien, Upadhyay, Abhitosh
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GENERIC SUBMANIFOLDS OF QUASI-SASAKIAN MANIFOLDS [PDF]
The authors study the integrability of the distributions on a generic submanifold of a quasi-Sasakian manifold. The existence of some foliations on a generic submanifold is shown to be equivalent with certain conditions on its second fundamental form and on a tensor field of type \((1,1)\) that has been introduced by Kanemaki for a characterization of ...
De, U. C. +2 more
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Multiply Warped Product Generalized Semi-Invariant Submanifolds
We define generalized semi-invariant submanifolds in locally product Riemannian manifolds. Then we study multiply warped product generalized semi-invariant submanifolds in the same structure. We give an existence theorem for such submanifolds. We also give necessary and sufficient conditions for such a submanifold to be a multiply direct product ...
Moctar Traore +2 more
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Branes on Generalized Calibrated Submanifolds [PDF]
40 pages, 3 figures, references ...
Cascales, Juan F. G., Uranga, Angel M.
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