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http://dx.doi.org/10.4134/CKMS.c160197

ON INDEFINITE LOCALLY CONFORMAL COSYMPLECTIC MANIFOLDS  

Massamba, Fortune (School of Mathematics Statistics and Computer Science University of KwaZulu-Natal)
Mavambou, Ange Maloko (School of Mathematics Statistics and Computer Science University of KwaZulu-Natal)
Ssekajja, Samuel (School of Mathematics Statistics and Computer Science University of KwaZulu-Natal)
Publication Information
Communications of the Korean Mathematical Society / v.32, no.3, 2017 , pp. 725-743 More about this Journal
Abstract
We prove that there exist foliations whose leaves are the maximal integral null manifolds immersed as submanifolds of indefinite locally conformal cosymplectic manifolds. Necessary and sufficient conditions for such leaves to be screen conformal, as well as possessing integrable distributions are given. Using Newton transformations, we show that any compact ascreen null leaf with a symmetric Ricci tensor admits a totally geodesic screen distribution. Supporting examples are also obtained.
Keywords
locally conformal almost cosymplectic manifold; null submanifold; Newton transformation;
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Times Cited By KSCI : 1  (Citation Analysis)
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