On the Comparison Theorems for the Volume of Tubes in Kahlerian Manifolds

In this note we give some comparison theorems for the volume of tubes around a complex submanifold in a Kahlerian monifold.

The U-Kenmotsu Hypersurfaces Axiom and Six-Dimensional Hermitian Submanifolds of Cayley Algebra

Six-dimensional Hermitian submanifolds of Cayley algebra are considered.It is proved that if such a submanifold of the octave algebta complies with the U-Kenmotsu hypersurfaces axiom,then it is Khlerian.

On Kirichenko Tensors of Nearly-Khlerian Manifolds

A short description of structural and virtual Kirichenko tensors that form a complete system of first-order differential-geometrical invariants of an arbitrary almost Hermitian structure is given.A characterization of nearly-Khlerian structures in terms of Kirichenko tensors is also given.

HARMONIC FUNCTIONS ON PRODUCT OF CERTAIN KAHLER MANIFOLDS WITH A POLE

It is proved that there is no nonconstant harmonic function of finite energy on product of certain Kahlerian manifolds with a pole.

紧致H-扭广义Calabi-Yau流形中形变的整体典范族

在紧致H-扭广义Calabi-Yau流形得到了一个可以用来检验形变中典范截面是否全纯的式子(?).