Ricci curvature of submanifolds in Kenmotsu space forms.
Riemannian manifolds not quasi-isometric to leaves in codimension one foliations
Every open manifold of dimension greater than one has complete Riemannian metrics with bounded geometry such that is not quasi-isometric to a leaf of a codimension one foliation of a closed manifold. Hence no conditions on the local geometry of suffice to make it quasi-isometric to a leaf of such a foliation. We introduce the ‘bounded homology property’, a semi-local property of that is necessary for it to be a leaf in a compact manifold in codimension one, up to quasi-isometry. An essential...
Riemannian Submersions of Compact Simple Lie Groups with Connected Totally Geodesic Fibres.
Rigidity of Rank-One Factors of Compact Symmetric Spaces
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.
Rigidity Theorems of Hypersurfaces in a Sphere
Rotational Hypersurfaces of Space Forms with Constant scalar curvature.
Rotations and Hermitian Symmetric Spaces.
Screen transversal lightlike submanifolds of indefinite Sasakian manifolds.
Sectional Curvatures of Holomorphic Planes on a Real Hypersurface in Pn (C).
Sectional curvatures of minimal hypersurfaces immersed in
Self-parallel curves.
Semi-invariant submanifolds of a Sasakian space form
Semi-invariant submanifolds of Riemannian product manifold.
Semi-parallel CR submanifolds in a complex space form
We show that there is no proper CR submanifold with semi-flat normal connection and semi-parallel second fundamental form in a complex space form with non-zero constant holomorphic sectional curvature such that the dimension of the holomorphic tangent space is greater than 2.
Semi-parallelity, multi-roation surfaces and the helix-property.
Several new characterizations of the sphere
Shape operators of orbits of isotropy subgroups in Riemannian symmetric spaces of the compact type.
Shapes of spheres of special nonholonomic left-invariant intrinsic metrics on some Lie groups.
Skew semi-invariant submanifolds of a locally product manifold.
Skew-symmetric vector fields on a CR-submanifold of a para-Kählerian manifold.