Sewing cells in almost cosymplectic and almost Kenmotsu geometry
Abstract
For a finite family of 3-dimensional almost contact metric manifolds with closed the structure form is described a construction of an almost contact metric manifold, where the members of the family are building blocks - cells. Obtained manifold share many properties of cells. One of the more important are nullity conditions. If cells satisfy nullity conditions - then - in the case of almost cosymplectic or almost -Kenmotsu manifolds - "sewed cells" also satisfies nullity condition - but generally with different constants. It is important that even in the case of the generalized nullity conditions - "sewed cells" are the manifolds which satisfy such conditions provided the cells satisfy the generalized nullity conditions.
Keywords
Cite
@article{arxiv.1203.4778,
title = {Sewing cells in almost cosymplectic and almost Kenmotsu geometry},
author = {Piotr Dacko},
journal= {arXiv preprint arXiv:1203.4778},
year = {2012}
}
Comments
minor corrections, changed the proof of the Proposition 1 from the preliminary part