On an Einstein projective Sasakian manifold.
On an extended contact Bochner curvature tensor on contact metric manifolds
On Sasakian manifolds, Matsumoto and Chūman [3] defined a contact Bochner curvature tensor (see also Yano [7]) which is invariant under D-homothetic deformations (for D-homothetic deformations, see Tanno [5]). On the other hand, Tricerri and Vanhecke [6] defined a general Bochner curvature tensor with conformal invariance on almost Hermitian manifolds. In this paper we define an extended contact Bochner curvature tensor which is invariant under D-homothetic deformations of contact metric manifolds;...
On an inequality of Oprea for Lagrangian submanifolds
We show that a Lagrangian submanifold of a complex space form attaining equality in the inequality obtained by Oprea in [8], must be totally geodesic.
On an integral formula
On applications of the Yano–Ako operator
In this paper we consider a method by which a skew-symmetric tensor field of type (1,2) in can be extended to the tensor bundle on the pure cross-section....
On Arnold's conjecture for symplectic fixed points
On associative developable surfaces
On Asymmetric Distances
In this paper we discuss asymmetric length structures and asymmetric metric spaces. A length structure induces a (semi)distance function; by using the total variation formula, a (semi)distance function induces a length. In the first part we identify a topology in the set of paths that best describes when the above operations are idempotent. As a typical application, we consider the length of paths defined by a Finslerian functional in Calculus of Variations. In the second part we generalize the...
On Asymptotic Directions of Minimal Immersions.
On asymptotic motions of robot-manipulator in homogeneous space
In this paper the notion of robot-manipulators in the Euclidean space is generalized to the case in a general homogeneous space with the Lie group of motions. Some kinematic subspaces of the Lie algebra (the subspaces of velocity operators, of Coriolis acceleration operators, asymptotic subspaces) are introduced and by them asymptotic and geodesic motions are described.
On asymptotic properties of maximal tubes and bands in a neighborhood of an isolated singularity in Minkowski space.
On Asymptotic Volume of Tori.
On balls and totally geodesic submanifolds
On Barbier's theorem
On Berwald and Wagner manifolds.
On bilinear structures on differentiable manifolds
On Blaschke manifolds and harmonic manifolds
On Bochner flat para-Kählerian manifolds
Let B be the Bochner curvature tensor of a para-Kählerian manifold. It is proved that if the manifold is Bochner parallel (∇ B = 0), then it is Bochner flat (B = 0) or locally symmetric (∇ R = 0). Moreover, we define the notion of tha paraholomorphic pseudosymmetry of a para-Kählerian manifold. We find necessary and sufficient conditions for a Bochner flat para-Kählerian manifold to be paraholomorphically pseudosymmetric. Especially, in the case when the Ricci operator is diagonalizable, a Bochner...
On boundaries of unions of sets with positive reach.
On boundary value problem of Neumann type for hypercomplex function with values in a Clifford algebra