Real hypersurfaces in complex two-plane Grassmannians with recurrent shape operator.
Real hypersurfaces in quaternionic space forms.
Real Hypersurfaces of Complex Projective Spaces.
Real hypersurfaces of indefinite Kähler manifolds.
Real hypersurfaces of type in quaternionic projective space.
Real hypersurfaces with a special transversal vector field
Real affine hypersurfaces of the complex space are studied. Some properties of the structure determined by a J-tangent transversal vector field are proved. Moreover, some generalizations of the results obtained by V. Cruceanu are given.
Real hypersurfaces with an induced almost contact structure
We study real affine hypersurfaces with an almost contact structure (φ,ξ,η) induced by any J-tangent transversal vector field. The main purpose of this paper is to show that if (φ,ξ,η) is metric relative to the second fundamental form then it is Sasakian and moreover f(M) is a piece of a hyperquadric in .
Real hypersurfaces with constant principal curvatures in complex hyperbolic space.
Real hypersurfaces with constant totally real bisectional curvature in complex space forms
In this paper we classify real hypersurfaces with constant totally real bisectional curvature in a non flat complex space form , as those which have constant holomorphic sectional curvature given in [6] and [13] or constant totally real sectional curvature given in [11].
Real hypersurfaces with constant totally real sectional curvature in a complex space form
We characterize real hypersurfaces with constant holomorphic sectional curvature of a non flat complex space form as the ones which have constant totally real sectional curvature.
Real hypersurfaces with parallel induced almost contact structures
Real affine hypersurfaces of the complex space with a J-tangent transversal vector field and an induced almost contact structure (φ,ξ,η) are studied. Some properties of hypersurfaces with φ or η parallel relative to an induced connection are proved. Also a local characterization of these hypersurfaces is given.
Real hypersurfaces with pseudo-𝔻-parallel structure Jacobi operator in complex hyperbolic spaces
The aim of the present paper is to classify real hypersurfaces with pseudo-𝔻-parallel structure Jacobi operator, in non-flat complex space forms.
Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties
We show, using a direct variational approach, that the second boundary value problem for the Monge-Ampère equation in with exponential non-linearity and target a convex body is solvable iff is the barycenter of Combined with some toric geometry this confirms, in particular, the (generalized) Yau-Tian-Donaldson conjecture for toric log Fano varieties saying that admits a (singular) Kähler-Einstein metric iff it is K-stable in the algebro-geometric sense. We thus obtain a new proof and...
Real projective structures on Riemann surfaces
Réalisations de surfaces hyperboliques complètes dans
Soit ; chaque métrique complète à courbure sur la sphère à trous admet une unique réalisation comme métrique induite sur une surface plongée dans dont le bord à l’infini est une réunion disjointe de cercles. De manière duale, chaque métrique complète à courbure sans géodésique fermée de longueur se réalise de manière unique comme troisième forme fondamentale d’une surface plongée dont le bord à l’infini est une réunion de cercles.
Réalisations globalement régulières de disques strictement convexes dans les espaces d'Euclide et de Minkowski par la méthode de Weingarten
Realizing Homology Classes by Almost-Complex Submanifolds.
Réarrangements des difféomorphismes sur une variété compacte mesurée
Recent advances in the theory of holonomy
Recent progress on the boundary rigidity problem.