Cauchy-Kowalewski extension theorems and representations of analytic functionals acting over special classes of real n-dimensional submanifolds of
Characterization of the Pseudo-symmetries of Ideal Wintgen Submanifolds of Dimension 3
Characterization of totally umbilic hypersurfaces in a space form by circles
In this paper we characterize totally umbilic hypersurfaces in a space form by a property of the extrinsic shape of circles on hypersurfaces. This characterization corresponds to characterizations of isoparametric hypersurfaces in a space form by properties of the extrinsic shape of geodesics due to Kimura-Maeda.
Characterizations of conformally flat hypersurfaces
Circles and spheres in pseudo-Riemannian geometry.
Codimension reduction for real submanifolds of a complex hyperbolic space.
We study real submanifolds of a complex hyperbolic space and prove a codimension reduction theorem.
Compact Einstein Kähler submanifolds of a complex projective space.
Compact space-like submanifolds with parallel mean curvature vector of a pseudo-Riemannian space
Complete minimal hypersurfaces in a locally symmetric space.
Complex Analysis, Maximal Immersions and Metric Singularities.
Complex hypersurfaces of a generalized Hopf manifold.
Conditions de compatibilité pour une hypersurface singulière en mécanique relativiste des milieux continus
Conditions for invariant submanifold of a manifold with the (fi, psi, eta, G)-structure
Conditions on the conharmonic curvature tensor of Kähler hypersurfaces in complex space forms.
Conformal and Isometric Immersions of Riemannian Manifolds.
Conformal nullity of isotropic submanifolds
We introduce and study submanifolds with extrinsic curvature and second fundamental form related by an inequality that holds for isotropic submanifolds and becomes equality for totally umbilical submanifolds. The dimension of umbilical subspaces and the index of conformal nullity of these submanifolds with low codimension are estimated from below. The corollaries are characterizations of extrinsic spheres in Riemannian spaces of positive curvature.
Conformally flat submanifolds
Constant mean curvature hypersurfaces with constant -invariant.
Contact and equivalence of submanifolds of homogeneous spaces
Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold.