-convex Riemannian submanifolds.
Harmonic and Minimal Unit Vector Fields on the Symmetric Spaces and
The exceptional compact symmetric spaces and admit cohomogeneity one isometric actions with two totally geodesic singular orbits. These singular orbits are not reflective submanifolds of the ambient spaces. We prove that the radial unit vector fields associated to these isometric actions are harmonic and minimal.
Harmonic maps and stability on -Kenmotsu manifolds.
Harmonic maps of bounded symmetric domains.
Harnack inequalities for evolving hypersurfaces.
Hermitian surfaces of constant holomorphic sectional curvature.
Higher order Codazzi tensors on conformally flat spaces.
Highly Connected Taut Submanifolds.
Holomorphic immersions between compact hyperbolic space forms.
Homogeneity of infinite dimensional isoparametric submanifolds.
Homogeneous -hypersurface-structures on spheres
Homogeneous spaces and isoparametric hypersurfaces.
Homogeneous totally real submanifolds of complex projective space
Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster -parallel structure Jacobi operator
Regarding the generalized Tanaka-Webster connection, we considered a new notion of -parallel structure Jacobi operator for a real hypersurface in a complex two-plane Grassmannian G 2(ℂm+2) and proved that a real hypersurface in G 2(ℂm+2) with generalized Tanaka-Webster -parallel structure Jacobi operator is locally congruent to an open part of a tube around a totally geodesic quaternionic projective space ℍP n in G 2(ℂm+2), where m = 2n.
Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel normal Jacobi operator
We study the classifying problem of immersed submanifolds in Hermitian symmetric spaces. Typically in this paper, we deal with real hypersurfaces in a complex two-plane Grassmannian which has a remarkable geometric structure as a Hermitian symmetric space of rank 2. In relation to the generalized Tanaka-Webster connection, we consider a new concept of the parallel normal Jacobi operator for real hypersurfaces in and prove non-existence of real hypersurfaces in with generalized Tanaka-Webster...
Hopf hypersurfaces in nearly Kaehler 6-sphere.
Hypersurface geometry and Hamiltonian systems of hydrodynamic type.
Hypersurfaces in a conformally flat space with curvature collineation.
Hypersurfaces in spaces of constant curvature satisfying some Ricci-type equations
We investigate hypersurfaces M in semi-Riemannian spaces of constant curvature satisfying some Ricci-type equations and for which the tensor H³ is a linear combination of the tensor H², the second fundamental tensor H of M and the metric tensor g of M.
Hypersurfaces of constant curvature in hyperbolic space II
This is the second of a series of papers in which we investigate the problem of finding, in hyperbolic space, complete hypersurfaces of constant curvature with a prescribed asymptotic boundary at infinity for a general class of curvature functions. In this paper we focus on graphs over a domain with nonnegative mean curvature.