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In this paper, we study the basic results on the general study of null curves in the Minkowski 4-space R14. A transversal vector bundle of a null curve in R14 is constructed using a frenet Frame consisting of two real null and two space-like vectors. The null curves are characterized by using the Frenet frame. [ABSTRACT FROM AUTHOR]

We demonstrate how to combinatorially calculate the EH-class of a compatible contact structure inthe sutured Floer homology group of a balanced sutured three manifold which is associated to an abstractpartial open book decomposition. As an application we show that every contact three manifold (closed or with convex boundary) can be obtained by gluing tight contact handlebodies whose EH-classes are nontrivial. [ABSTRACT FROM AUTHOR]

In this paper we define a diagonal lift Dg of Riemannian metric g of manifold Mn to the tangent bundle of order two denoted by T²Mn of Mn, we associate to Dg its Levi-civita connection of T² M and we investigate applications of the diagonal lifts in the killing vectors and geodesics. [ABSTRACT FROM AUTHOR]

In this paper, the geometry of F-invariant submanifolds of a Kaehlerian product manifold is studied. The fundamental properties of these submanifolds are investigated such as pseudo umbilical, curvature invariant, totally geodesic, mixed geodesic submanifold and locally decomposable Riemannian product manifold. [ABSTRACT FROM AUTHOR]

In this paper, we study coisotropic submanifolds of a semi-Riemannian manifold. We investigate the integrability condition of the screen distribution and give a necessary and sufficient condition on Ricci tensor of a coisotropic submanifold to be symmetric. Finally, we present some new theorems and results about totally umbilical coisotropic submanifolds of a semi-Riemannian manifold. [ABSTRACT FROM AUTHOR]