Deformations of structures, embedding of a Riemannian manifold in a Kählerian one and geometric antigravitation

Alexander A. Ermolitski. "Deformations of structures, embedding of a Riemannian manifold in a Kählerian one and geometric antigravitation." Banach Center Publications 76.1 (2007): 505-514. <http://eudml.org/doc/282388>.

@article{AlexanderA2007,
abstract = {Tubular neighborhoods play an important role in modern differential topology. The main aim of the paper is to apply these constructions to geometry of structures on Riemannian manifolds. Deformations of tensor structures on a normal tubular neighborhood of a submanifold in a Riemannian manifold are considered in section 1. In section 2, this approach is used to obtain a Kählerian structure on the corresponding normal tubular neighborhood of the null section in the tangent bundle TM of a smooth manifold M. In section 3, we consider a new deformation of a tensor structure on some neighborhood of a curve and introduce the so-called geometric antigravitation. Some results of the paper were announced in [4], [5]. The work [3] is close to our discussion.},
author = {Alexander A. Ermolitski},
journal = {Banach Center Publications},
keywords = {Riemannian manifolds; almost Hermitian and tensor structures; tangent bundle},
language = {eng},
number = {1},
pages = {505-514},
title = {Deformations of structures, embedding of a Riemannian manifold in a Kählerian one and geometric antigravitation},
url = {http://eudml.org/doc/282388},
volume = {76},
year = {2007},
}

TY - JOUR
AU - Alexander A. Ermolitski
TI - Deformations of structures, embedding of a Riemannian manifold in a Kählerian one and geometric antigravitation
JO - Banach Center Publications
PY - 2007
VL - 76
IS - 1
SP - 505
EP - 514
AB - Tubular neighborhoods play an important role in modern differential topology. The main aim of the paper is to apply these constructions to geometry of structures on Riemannian manifolds. Deformations of tensor structures on a normal tubular neighborhood of a submanifold in a Riemannian manifold are considered in section 1. In section 2, this approach is used to obtain a Kählerian structure on the corresponding normal tubular neighborhood of the null section in the tangent bundle TM of a smooth manifold M. In section 3, we consider a new deformation of a tensor structure on some neighborhood of a curve and introduce the so-called geometric antigravitation. Some results of the paper were announced in [4], [5]. The work [3] is close to our discussion.
LA - eng
KW - Riemannian manifolds; almost Hermitian and tensor structures; tangent bundle
UR - http://eudml.org/doc/282388
ER -