Pseudoinversion of degenerate metrics.
Pseudo-Riemannian and Hessian geometry related to Monge-Ampère structures
We study properties of pseudo-Riemannian metrics corresponding to Monge-Ampère structures on four dimensional . We describe a family of Ricci flat solutions, which are parametrized by six coefficients satisfying the Plücker embedding equation. We also focus on pullbacks of the pseudo-metrics on two dimensional , and describe the corresponding Hessian structures.
Pseudo-Riemannian manifolds endowed with an almost para f-structure.
Pseudo-Riemannian Osserman manifolds.
Pseudo-Riemannian structures with the same connection.
Pseudo-symmetric contact 3-manifolds III
A trans-Sasakian 3-manifold is pseudo-symmetric if and only if it is η-Einstein. In particular, a quasi-Sasakian 3-manifold is pseudo-symmetric if and only if it is a coKähler manifold or a homothetic Sasakian manifold. Some examples of non-Sasakian pseudo-symmetric contact 3-manifolds are exhibited.
Pseudo-symmetry curvature conditions on hypersurfaces of Euclidean spaces and on Kahlerian manifolds
QR-hypersurfaces of quaternionic Kähler manifolds.
Quadric hypersurfaces of finite type
Quantized charge in terms of pure geometry
Quantum stochastic dynamics. I.
Quasi-Einstein hypersurfaces in semi-Riemannian space forms
We investigate curvature properties of hypersurfaces of a semi-Riemannian space form satisfying R·C = LQ(S,C), which is a curvature condition of pseudosymmetry type. We prove that under some additional assumptions the ambient space of such hypersurfaces must be semi-Euclidean and that they are quasi-Einstein Ricci-semisymmetric manifolds.
Quasiharmonic -functions on riemannian manifolds
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.
Quaternionic Reduction and Quaternionic Orbifolds.
Quaternionic-Kähler manifolds and conforrmal geometry.
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.