Conformal and related changes of metric on the product of two almost contact metric manifolds.

David E. Blair; José Antonio Oubiña

Publicacions Matemàtiques (1990)

  • Volume: 34, Issue: 1, page 199-207
  • ISSN: 0214-1493

Abstract

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This paper studies conformal and related changes of the product metric on the product of two almost contact metric manifolds. It is shown that if one factor is Sasakian, the other is not, but that locally the second factor is of the type studied by Kenmotsu. The results are more general and given in terms of trans-Sasakian, α-Sasakian and β-Kenmotsu structures.

How to cite

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Blair, David E., and Oubiña, José Antonio. "Conformal and related changes of metric on the product of two almost contact metric manifolds.." Publicacions Matemàtiques 34.1 (1990): 199-207. <http://eudml.org/doc/41124>.

@article{Blair1990,
abstract = {This paper studies conformal and related changes of the product metric on the product of two almost contact metric manifolds. It is shown that if one factor is Sasakian, the other is not, but that locally the second factor is of the type studied by Kenmotsu. The results are more general and given in terms of trans-Sasakian, α-Sasakian and β-Kenmotsu structures.},
author = {Blair, David E., Oubiña, José Antonio},
journal = {Publicacions Matemàtiques},
keywords = {Métricas riemannianas; Sasakian manifold; conformal metrics; Kenmotsu manifolds; almost contact metric manifolds},
language = {eng},
number = {1},
pages = {199-207},
title = {Conformal and related changes of metric on the product of two almost contact metric manifolds.},
url = {http://eudml.org/doc/41124},
volume = {34},
year = {1990},
}

TY - JOUR
AU - Blair, David E.
AU - Oubiña, José Antonio
TI - Conformal and related changes of metric on the product of two almost contact metric manifolds.
JO - Publicacions Matemàtiques
PY - 1990
VL - 34
IS - 1
SP - 199
EP - 207
AB - This paper studies conformal and related changes of the product metric on the product of two almost contact metric manifolds. It is shown that if one factor is Sasakian, the other is not, but that locally the second factor is of the type studied by Kenmotsu. The results are more general and given in terms of trans-Sasakian, α-Sasakian and β-Kenmotsu structures.
LA - eng
KW - Métricas riemannianas; Sasakian manifold; conformal metrics; Kenmotsu manifolds; almost contact metric manifolds
UR - http://eudml.org/doc/41124
ER -

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