On the vertical bundle of a pseudo-Finsler manifold.
On the volume of a pseudo-effective class and semi-positive properties of the Harder-Narasimhan filtration on a compact Hermitian manifold
This paper divides into two parts. Let (X,ω) be a compact Hermitian manifold. Firstly, if the Hermitian metric ω satisfies the assumption that for all k, we generalize the volume of the cohomology class in the Kähler setting to the Hermitian setting, and prove that the volume is always finite and the Grauert-Riemenschneider type criterion holds true, which is a partial answer to a conjecture posed by Boucksom. Secondly, we observe that if the anticanonical bundle is nef, then for any ε >...
On the volume of a unit vector field on the three-sphere.
On the volume of the trajectory surfaces under the homothetic motions.
On the volume of unit vector fields on a compact semisimple Lie group.
On the Wave Equation Asymptotics of a Compact Negatively Curved Surface.
On the wave equation in curved spacetime
On the Wave Equation on a Compact Riemannian Manifold withour Conjugate Points.
On third order semiholonomic prolongation of a connection
We recall several different definitions of semiholonomic jet prolongations of a fibered manifold and use them to derive some interesting properties of prolongation of a first order connection to a third order semiholonomic connection.
On three-dimensional hypersurfaces with type number two in and treated in intrinsic way
On Tight Immersions of Maximal Codimension.
On topological Tits buildings and their classification
On topologically distinct infinite families of exact Lagrangian fillings
In this note we construct examples of closed connected Legendrian submanifolds in high dimensional contact vector space that admit an arbitrary finite number of topologically distinct infinite families of diffeomorphic, but not Hamiltonian isotopic exact Lagrangian fillings.
On tori having poles.
On Tori with Parallel Mean Curvature Vector in a Space of Constant Curvature.
On tori without conjugate points.
On torsion of a -web
A 3-web on a smooth -dimensional manifold can be regarded locally as a triple of integrable -distributions which are pairwise complementary, [5]; that is, we can work on the tangent bundle only. This approach enables us to describe a -web and its properties by invariant -tensor fields and where is a projector and id. The canonical Chern connection of a web-manifold can be introduced using this tensor fields, [1]. Our aim is to express the torsion tensor of the Chern connection through...
On total curvature of immersions and minimal submanifolds of spheres
For closed immersed submanifolds of Euclidean spaces, we prove that , where is the mean curvature field, the volume of the given submanifold and is the radius of the smallest sphere enclosing the submanifold. Moreover, we prove that the equality holds only for minimal submanifolds of this sphere.
On totally real minimal submanifolds in complex projective space
In this paper, we obtain some pinching theorems for totally real minimal submanifolds in complex projective space.
On totally real submanifolds in a nearly Kähler manifold.