On Calabi's conjecture for complex surfaces with positive first Chern class.
On calibrations for Lawson’s cones
On canonical forms on non-holonomic and semi-holonomic prolongations of principal fibre bundles
On canonical screen for lightlike submanifolds of codimension two
In this paper we study two classes of lightlike submanifolds of codimension two of semi-Riemannian manifolds, according as their radical subspaces are 1-dimensional or 2-dimensional. For a large variety of both these classes, we prove the existence of integrable canonical screen distributions subject to some reasonable geometric conditions and support the results through examples.
On category for cyclotomic rational Cherednik algebras
We study equivalences for category of the rational Cherednik algebras of type : a highest weight equivalence between and for and an action of on an explicit non-empty Zariski open set of parameters ; a derived equivalence between and whenever and have integral difference; a highest weight equivalence between and a parabolic category for the general linear group, under a non-rationality assumption on the parameter . As a consequence, we confirm special cases of conjectures...
On Cauchy-Riemann submanifolds whose local geodesic symmetries preserve the fundamental form
We classify generic Cauchy-Riemann submanifolds (of a Kaehlerian manifold) whose fundamental form is preserved by any local geodesic symmetry.
On certain anti-invariant submanifolds of an S-manifold
On certain class of unitarizable representations of the Lie algebra
On Certain Conditions Which Reduce a Finsler Space of Scalar Curvature to a Riemannian Space of Constant Curvature
On certain curvature conditions on Riemannian manifolds
On certain Einstein space-time
On certain four-dimensional almost Kähler manifolds
We study four-dimensional almost Kähler manifolds (M,g,J) which admit an opposite almost Kähler structure.
On certain groups of holomorphic maps
On certain infinitesimal isometries of surfaces
On certain real hypersurfaces of quaternionic projective space.
On certain structures on the frame bundle of an almost para-contact metric manifold
On characterization of Poisson and Jacobi structures
We characterize Poisson and Jacobi structures by means of complete lifts of the corresponding tensors: the lifts have to be related to canonical structures by morphisms of corresponding vector bundles. Similar results hold for generalized Poisson and Jacobi structures (canonical structures) associated with Lie algebroids and Jacobi algebroids.
On characterization of the sphere in by means of the parallelness of certain vector fields
On Cheeger's inequality.
On Circles and Spheres in Riemannian Geometry.