Warped Product CR-Submanifolds of Lorentzian -Kenmotsu Manifolds
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Warped product semi-invariant submanifolds in almost paracontact Riemannian manifolds.
Atçeken, Mehmet (2009)
Mathematical Problems in Engineering
Warped product submanifolds of cosymplectic manifolds.
Khan, Khalid Ali, Khan, Viqair Azam, Siraj-Uddin (2008)
Balkan Journal of Geometry and its Applications (BJGA)
Willmore submanifolds in the unit sphere.
Guo Zhen (2004)
Collectanea Mathematica
In this paper we generalize the self-adjoint differential operator (used by Cheng-Yau) on hypersurfaces of a constant curvature manifold to general submanifolds. The generalized operator is no longer self-adjoint. However we present its adjoint operator. By using this operator we get the pinching theorem on Willmore submanifolds which is analogous to the pinching theorem on minimal submanifold of a sphere given by Simon and Chern-Do Carmo-Kobayashi.
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