Pseudo-symmetric contact 3-manifolds III

Jong Taek Cho; Jun-ichi Inoguchi; Ji-Eun Lee

Colloquium Mathematicae (2009)

  • Volume: 114, Issue: 1, page 77-98
  • ISSN: 0010-1354

Abstract

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A trans-Sasakian 3-manifold is pseudo-symmetric if and only if it is η-Einstein. In particular, a quasi-Sasakian 3-manifold is pseudo-symmetric if and only if it is a coKähler manifold or a homothetic Sasakian manifold. Some examples of non-Sasakian pseudo-symmetric contact 3-manifolds are exhibited.

How to cite

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Jong Taek Cho, Jun-ichi Inoguchi, and Ji-Eun Lee. "Pseudo-symmetric contact 3-manifolds III." Colloquium Mathematicae 114.1 (2009): 77-98. <http://eudml.org/doc/284065>.

@article{JongTaekCho2009,
abstract = {A trans-Sasakian 3-manifold is pseudo-symmetric if and only if it is η-Einstein. In particular, a quasi-Sasakian 3-manifold is pseudo-symmetric if and only if it is a coKähler manifold or a homothetic Sasakian manifold. Some examples of non-Sasakian pseudo-symmetric contact 3-manifolds are exhibited.},
author = {Jong Taek Cho, Jun-ichi Inoguchi, Ji-Eun Lee},
journal = {Colloquium Mathematicae},
keywords = {Pseudo-symmetric space; almost contact manifold},
language = {eng},
number = {1},
pages = {77-98},
title = {Pseudo-symmetric contact 3-manifolds III},
url = {http://eudml.org/doc/284065},
volume = {114},
year = {2009},
}

TY - JOUR
AU - Jong Taek Cho
AU - Jun-ichi Inoguchi
AU - Ji-Eun Lee
TI - Pseudo-symmetric contact 3-manifolds III
JO - Colloquium Mathematicae
PY - 2009
VL - 114
IS - 1
SP - 77
EP - 98
AB - A trans-Sasakian 3-manifold is pseudo-symmetric if and only if it is η-Einstein. In particular, a quasi-Sasakian 3-manifold is pseudo-symmetric if and only if it is a coKähler manifold or a homothetic Sasakian manifold. Some examples of non-Sasakian pseudo-symmetric contact 3-manifolds are exhibited.
LA - eng
KW - Pseudo-symmetric space; almost contact manifold
UR - http://eudml.org/doc/284065
ER -

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