On a Problem of D'Atri and Nickerson.
On a problem of W. J. Firey in connection with the characterization of spheres.
On a Purely ?Riemannian" Proof of the Structure and Dimension of the Unramified Moduli Space of a Compact Riemann Surface.
On a Riemannian Manifold M with Structures Defined by Nilpotent Operators
On a Semi-symmetric Metric Connection in an Almost Kenmotsu Manifold with Nullity Distributions
We consider a semisymmetric metric connection in an almost Kenmotsu manifold with its characteristic vector field belonging to the -nullity distribution and -nullity distribution respectively. We first obtain the expressions of the curvature tensor and Ricci tensor with respect to the semisymmetric metric connection in an almost Kenmotsu manifold with belonging to - and -nullity distribution respectively. Then we characterize an almost Kenmotsu manifold with belonging to -nullity distribution...
On a structure satisfying .
On a sufficient condition for conformal parabolicity of a hypersurface.
On a synthetic proof of the Ambrose-Palais-Singer theorem for infinitesimally linear spaces
On a theorem of Chekanov
A proof of the Chekanov theorem is discussed from a geometric point of view. Similar results in the context of projectivized cotangent bundles are proved. Some applications are given.
On a Theorem of Fenchel-Borsuk-Willmore-Chern-Lashof.
On a theorem of Fermi
Conformally flat metric is said to be Ricci superosculating with at the point if , , , where is the Ricci tensor. In this paper the following theorem is proved: If is a smooth curve of the Riemannian manifold (without self-crossing(, then there is a neighbourhood of and a conformally flat metric which is the Ricci superosculating with along the curve .
On a type of manifolds over algebra of dual numbers
On a type of P-Sasakian manifold.
On a Type of Semi-symmetric Metric Connection on a Riemannian Manifold
On a variational theory of light rays on Lorentzian manifolds
In this Note, by using a generalization of the classical Fermat principle, we prove the existence and multiplicity of lightlike geodesics joining a point with a timelike curve on a class of Lorentzian manifolds, satisfying a suitable compactness assumption, which is weaker than the globally hyperbolicity.
On a weakly symmetric Riemannian manifold admitting a special type of semi-symmetric metric connection.
On affine extensions of the holonomy homomorphisms of flat principal bundles
On affine transformations of Banachable bundles
On Almost Blaschke Manifolds I.
On almost cosymplectic (−1, μ, 0)-spaces
In our previous paper, almost cosymplectic (κ, μ, ν)-spaces were defined as the almost cosymplectic manifolds whose structure tensor fields satisfy a certain special curvature condition. Amongst other results, it was proved there that any almost cosymplectic (κ, μ, ν)-space can be -homothetically deformed to an almost cosymplectic −1, μ′, 0)-space. In the present paper, a complete local description of almost cosymplectic (−1, μ, 0)-speces is established: “models” of such spaces are constructed,...