Almost Cosymplectic and Almost Kenmotsu (κ, μ, ν)-Spaces

We study the Riemann curvature tensor of (κ, μ, ν)-spaces when they have almost cosymplectic and almost Kenmotsu structures, giving its writing explicitly. This leads to the definition and study of a natural generalisation of the contact metric (κ, μ, ν)-spaces . We present examples or obstruction r...

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Bibliographic Details
Published inMediterranean journal of mathematics Vol. 10; no. 3; pp. 1551 - 1571
Main Authors Carriazo, Alfonso, Martín-Molina, Verónica
Format Journal Article
LanguageEnglish
Published Basel Springer Basel 01.08.2013
Subjects
Mathematics
Mathematics and Statistics
Secondary 53C25
spaces
generalized Sasakian space form
Generalized
space
Primary 53C15
almost cosymplectic
almost Kenmotsu
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Summary:We study the Riemann curvature tensor of (κ, μ, ν)-spaces when they have almost cosymplectic and almost Kenmotsu structures, giving its writing explicitly. This leads to the definition and study of a natural generalisation of the contact metric (κ, μ, ν)-spaces . We present examples or obstruction results of these spaces in all possible cases.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-013-0246-4