Results 51 to 60 of about 1,018 (69)
The homogeneous slice theorem for the complete complexification of a proper complex equifocal submanifold [PDF]
Tokyo Journal of Mathematics vol. 33 (2010) 1-30, 2008 We investigate the homogeneity of certain kind of slices of the complete complexification of a proper complex equifocal submanifold in a symmetric space of non-compact type.
arxiv
The holomorphic Gauss Parametrization [PDF]
arXiv, 2008 We give a local parametric description of all holomorphic hypersurfaces in complex Euclidean and projective spaces with constant index of relative nullity, together with applications. This is a complex analogue to the parametrization for real hypersurfaces in Euclidean space known as the Gauss parametrization.
arxiv
arXivWe consider the following question: When does a Riemannian manifold admit an embedding with a uniformly thick tubular neighborhood in another Riemannian manifold of large dimension?
arxiv
Tight Lagrangian surfaces in $S^2 \times S^2$ [PDF]
arXiv, 2008 We determine all tight Lagrangian surfaces in $S^2 \times S^2$. In particular, globally tight Lagrangian surfaces in $S^2 \times S^2$ are nothing but real forms.
arxiv
The rigidity of biconservative surfaces in Sol3 [PDF]
arXivWe consider biconservative surfaces in Sol3, find their local equations, and then show that all biharmonic surfaces in this space are minimal.
arxiv
Rigidity of Rank-One Factors of Compact Symmetric Spaces [PDF]
arXiv, 2009 We consider the decomposition of a compact-type symmetric space into a product of factors and show that the rank-one factors, when considered as totally geodesic submanifolds of the space, are isolated from inequivalent minimal submanifolds.
arxiv
On the structure vector field of a real hypersurface in complex two-plane Grassmannians
Open Mathematics, 2012 Machado Carlos, Pérez Juan
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