Some characterizations of special curves in the Euclidean space .
Some characterizations of the spacelike, the timelike and the null curves on the pseudohyperbolic space H02 in E13
Some Classes of Lorentzian -Sasakian Manifolds Admitting a Quarter-symmetric Metric Connection
The object of the present paper is to study a quarter-symmetric metric connection in an Lorentzian -Sasakian manifold. We study some curvature properties of an Lorentzian -Sasakian manifold with respect to the quarter-symmetric metric connection. We study locally -symmetric, -symmetric, locally projective -symmetric, -projectively flat Lorentzian -Sasakian manifold with respect to the quarter-symmetric metric connection.
Some Complete Manifolds with Non-Negative Curvature Operator.
Some concepts of regularity for parametric multiple-integral problems in the calculus of variations
We show that asserting the regularity (in the sense of Rund) of a first-order parametric multiple-integral variational problem is equivalent to asserting that the differential of the projection of its Hilbert-Carathéodory form is multisymplectic, and is also equivalent to asserting that Dedecker extremals of the latter -form are holonomic.
Some conditions for a surface in to be a part of the sphere
In this paper some properties of an immersion of two-dimensional surface with boundary into are studied. The main tool is the maximal principle property of a solution of the elliptic system of partial differential equations. Some conditions for a surface to be a part of a 2-dimensional spheren in are presented.
Some conformal invariants from the noncommutative residue for manifolds with boundary.
Some Congruence Theorems for Closed Hypersurfaces in Riemann Spaces (Part III: Method baser on Voss' Proof)
Some constructions of biharmonic maps on the warped product manifolds
In this paper, we characterize a class of biharmonic maps from and between product manifolds in terms of the warping function. Examples are constructed when one of the factors is either Euclidean space or sphere.
Some contributions to the differential geometry of submanifolds [Book]
Some critical almost Kähler structures
We consider the set of all almost Kähler structures (g,J) on a 2n-dimensional compact orientable manifold M and study a critical point of the functional with respect to the scalar curvature τ and the *-scalar curvature τ*. We show that an almost Kähler structure (J,g) is a critical point of if and only if (J,g) is a Kähler structure on M.
Some curvature conditions of the type 2x4 on the submanifolds satisfying Chen's equality
Some curvature identities for commutative spaces
Some differential operators connected with quasiconformal deformations on manifold
Some embeddings of the space of partially complex structures.
Some Equivalence Theorems in Affine Hypersurface Theory.
Some evolution equations under the List's flow and their applications
In this paper, we consider some evolution equations of generalized Ricci curvature and generalized scalar curvature under the List’s flow. As applications, we obtain -estimates for generalized scalar curvature and the first variational formulae for non-negative eigenvalues with respect to the Laplacian.
Some examples of almost Kähler 4-manifolds.
Some examples of harmonic maps for -natural metrics
We produce new examples of harmonic maps, having as source manifold a space of constant curvature and as target manifold its tangent bundle , equipped with a suitable Riemannian -natural metric. In particular, we determine a family of Riemannian -natural metrics on , with respect to which all conformal gradient vector fields define harmonic maps from into .
Some examples of higher rank manifolds of nonnegative curvature.