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Local classification and examples of an important class of paracontact metric manifolds

 

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Opened Access Local classification and examples of an important class of paracontact metric manifolds
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Author: Martín Molina, Verónica
Department: Universidad de Sevilla. Departamento de Didáctica de las Matemáticas
Date: 2015
Published in: Filomat, 29 (3), 507-515.
Document type: Article
Abstract: We study paracontact metric ( , μ)-spaces with = −1, equivalent to h2 = 0 but not h = 0. In particular, we will give an alternative proof of Theorem 3.2 of [11] and present examples of paracontact metric (−1, 2)-spaces and (−1, 0)-spaces of arbitrary dimension with tensor h of every possible constant rank. We will also show explicit examples of paracontact metric (−1, μ)- spaces with tensor h of non-constant rank, which were not known to exist until now
Cite: Martín Molina, V. (2015). Local classification and examples of an important class of paracontact metric manifolds. Filomat, 29 (3), 507-515.
Size: 162.6Kb
Format: PDF

URI: http://hdl.handle.net/11441/67778

DOI: 10.2298/FIL1503507M

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