Embeddings of Almost Hermitian Manifold in Almost Hyper Hermitian Manifold and Complex (Hypercomplex) Numbers in Riemannian Geometry
Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=49372#.VI5b1snQrzE Author(s) Alexander A Ermolitski Affiliation(s) IIT-BSUIR, Minsk, Belarus . ABSTRACT Tubular neighborhoods play an important role in differential topology. We have applied these constructions to geometry of almost Hermitian manifolds. At first, we consider deformations of tensor structures on a normal tubular neighborhood of a submanifold in a Riemannian manifold. Further, an almost hyper Hermitian structure has been constructed on the tangent bundle TM with help of the Riemannian connection of an almost Hermitian structure on a manifold M then, we consider an embedding of the almost Hermitian manifold M in t...