Analytic Variety

Key words: Inequalities, Holder, Indefinite forms, Reverse Inequalities, Holder’s In- equality, Generalized

There are many interesting vector fields in differential geometry, for ex- ample the mean curvature vector field. In [5], Bang-yen Chen developed the Laplacian on vector fields, and

The aim of this paper is to define a class of vector fields on a Riemannian manifold which enlarges the class of Killing vector fields.. We study the relations between 2-Killing

In this article we prove the following result: if two 2-dimensional 2-homogeneous rational vector fields commute, then either both vector fields can be explicitly integrated to

3.2 Correspondence between Killing vector fields and left invariant vector fields 26 3.3 Dimension of isometry group and

Yano showed that affine vector fields on a compact orientable Riemannian manifold are Killing vector fields [7]; the proof was based on integral formulas.. Hano found a

Suwa, Indices of holomorphic vector fields relative to invariant curves on surfaces, Proc. Suwa, Indices of vector fields and residues of singular holomorphic

groups of the Lie algebra of complex analytic vector fields on open Rie- mann surfaces $U$ with coefficients in the tensors on the product space. $U^{n}$ , i.e.,