Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2016.09.23
  • Accepted : 2017.02.23
  • Published : 2017.07.31
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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.

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References

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