On totally umbilical surfaces in some Riemannian spaces
On transitive submanifolds of and
On Weyl pseudosymmetric hypersurfaces
One version of Miron's geometry in .
Optimal inequalities characterising quasi-umbilical submanifolds.
Parallel hypersurfaces
We investigate parallel hypersurfaces in the context of relative hypersurface geometry, in particular including the cases of Euclidean and Blaschke hypersurfaces. We describe the geometric relations between parallel hypersurfaces in terms of deformation operators, and we apply the results to the parallel deformation of special classes of hypersurfaces, e.g. quadrics and Weingarten hypersurfaces.
Parallel immersions into spaces of constant curvature and conformal transformations.
Parallel Kaehler Submanifolds of Hermitian Symmetric Spaces.
Peterson's deformations of higher dimensional quadrics.
Polynomial translation surfaces of Weingarten types in Euclidean 3-space
In this paper, we classify polynomial translation surfaces in Euclidean 3-space satisfying the Jacobi condition with respect to the Gaussian curvature, the mean curvature and the second Gaussian curvature.
Principal directions for submanifolds imbedded in Euclidean spaces of arbitrary codimensions.
Projections of hypersurfaces in the hyperbolic space to hyperhorospheres and hyperplanes.
Pseudo-symmetry curvature conditions on hypersurfaces of Euclidean spaces and on Kahlerian manifolds
QR-hypersurfaces of quaternionic Kähler manifolds.
Quadric hypersurfaces of finite type
Quasi-minimal rotational surfaces in pseudo-Euclidean four-dimensional space
In the four-dimensional pseudo-Euclidean space with neutral metric there are three types of rotational surfaces with two-dimensional axis - rotational surfaces of elliptic, hyperbolic or parabolic type. A surface whose mean curvature vector field is lightlike is said to be quasi-minimal. In this paper we classify all rotational quasi-minimal surfaces of elliptic, hyperbolic and parabolic type, respectively.
Real hypersurfaces in a complex projective space with pseudo--parallel structure Jacobi operator
We introduce the new notion of pseudo--parallel real hypersurfaces in a complex projective space as real hypersurfaces satisfying a condition about the covariant derivative of the structure Jacobi operator in any direction of the maximal holomorphic distribution. This condition generalizes parallelness of the structure Jacobi operator. We classify this type of real hypersurfaces.
Real Hypersurfaces in Complex Space Forms With etta-Parallel
Real hypersurfaces in quaternionic space forms.
Real Hypersurfaces of Complex Projective Spaces.