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On hypersurfaces in a real space form

open access: yesOn hypersurfaces in a real space form
application ...
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Real hypersurfaces of Kahler manifolds.

open access: yes, 2001
Building on work by S. M. Webster \ref[J. Differential Geom. 13 (1978), no. 1, 25--41; MR0520599 (80e:32015)] the author studies the geometry of the second fundamental form of a real hypersurface in a Kähler manifold. As an application he proves that a compact strictly pseudoconvex hypersurface $M\subsetC^n$ is isometric to a sphere provided that $M ...
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Topology of random real hypersurfaces

open access: yes, 2015
These are notes of the mini-course I gave during the CIMPA summer school at Villa de Leyva, Colombia, in July $2014$. The subject was my joint work with Damien Gayet on the topology of random real hypersurfaces, restricting myself to the case of projective spaces and focusing on our lower estimates.
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Ricci solutions and real hypersurfaces

open access: yesRicci solutions and real hypersurfaces
We study the expression similar to the equation of Ricci solution. As applications we give conditions for real hypersurfaces of a complex space form to be some Hopf hypersurface 弘前大学教育学部紀要.
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