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Closed characteristics on compact convex hypersurfaces in R8
Closed characteristics compact convex hypersurfaces R8
2015/3/18
Closed characteristics on compact convex hypersurfaces in R8.
Relative nullity foliations and lightlike hypersurfaces in indefinite Kenmotsu manifolds
η-Einstein lightlike hypersurfaces Indefinite Kenmotsu manifold Relative nullity foliation Screen distribution
2011/4/6
This paper deals with the relative nullity distributions of lightlike hypersurfaces of indefinite Kenmotsu space forms, tangent to the structure vector field. Theorems on parallel vector fields are ob...
We show that the usual sufficient criterion for a generic hypersurface in a smooth projective manifold to have the same Picard number as the ambient variety can be generalized to hypersurfaces in com...
A_2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space
hypersurfaces non-negative sectional curvature Euclidean space
2010/11/11
In a previous work, the authors gave a definition of `front bundles'. Using this, we give a realization theorem for wave fronts in space forms, like as in the fundamental theorem of surface theory. A...
Partial Rigidity of CR Embeddings of Real Hypersurfaces into Hyperquadrics with Small Signature Difference
Partial Rigidity Real Hypersurfaces Signature Difference
2010/11/11
We study the rigidity of holomorphic mappings from a neighborhood of a Levi-nondegenerate CR hypersurface $M$ with signature $l$ into a hyperquadric $Q_{l'}^{N} \subseteq \mathbb{CP}^{N+1}$ of larger ...