Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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GEOMETRY OF HALF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS WITH A QUARTER-SYMMETRIC METRIC CONNECTION

  • Gupta, Garima (Department of Basic and Applied Sciences Punjabi University) ;
  • Kumar, Rakesh (Department of Basic and Applied Sciences Punjabi University)
  • Received : 2019.11.19
  • Accepted : 2020.03.31
  • Published : 2020.07.31
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Abstract

We study totally umbilical real half lightlike submanifolds of indefinite Kaehler manifolds with a quarter-symmetric metric connection. We obtain some conditions for a real half lightlike submanifold of an indefinite Kaehler manifold with a quarter-symmetric metric connection to be a product manifold. We derive the expression for induced Ricci type tensor 𝓡(0,2) and also obtain conditions for 𝓡(0,2) to be symmetric.

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References

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