Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2017; 32(3): 725-743

Online first article June 14, 2017      Printed July 31, 2017

https://doi.org/10.4134/CKMS.c160197

Copyright © The Korean Mathematical Society.

On Indefinite locally conformal cosymplectic manifolds

Fortun\'{e} Massamba, Ange Maloko Mavambou, and Samuel Ssekajja

Private Bag X01, Scottsville 3209, Private Bag X01, Scottsville 3209, Private Bag X01, Scottsville 3209

Abstract

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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

MSC numbers: Primary 53D15; Secondary 53C15

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