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REAL HYPERSURFACES IN COMPLEX PROJECTIVE SPACE SATISFYING A CERTAIN CONDITION ON THE SECOND FUNDAMENTAL FORM [PDF]

open access: yes
application/pdfThe purpose of the present paper is to characterize $A_{1},$ $A_{2}$ or a ruled real hypersurface of $CP$¥ under a certain condition on the second fundamental ...
Matsuyama, Yoshio
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The rough Laplacian and harmonicity of Hopf vector fields

open access: yes, 2005
Let M be an orientable real hypersurface of a general Kaehler manifold N. The characteristic vector field ξ of the induced almost contact metric structure (ξ, η, g, φ) is also called the Hopf vector field of M.
PERRONE, Domenico
core  

Local extension of boundary holomorphic forms on real hypersurfaces in Cn

open access: yes, 2007
Let M be a real hypersurface in Cn with n⩾3 and the Levi-form at p∈M has (q+1)-positive eigenvalues, 1⩽q⩽n−2.
Cho, Sanghyun, Choi, Jaeseo
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On the Ricci tensor and the generalized Tanaka-Webster connection of real hypersurfaces in a complex space form

open access: yes, 2015
We prove that the Ricci tensor with respect to the generalized Tanaka-Webster connection of a real hypersurface with the almost contact structure (eta, phi, xi, g) in a complex space form of complex dimension n >= 3 satisfies (S) over cap (X, phi Y ...
Kon, Mayuko
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