• 제목/요약/키워드: Metric space

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FINSLER METRICS COMPATIBLE WITH f(5,1)-STRUCTURE

  • Park, Hong-Suh;Park, Ha-Yong
    • 대한수학회논문집
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    • 제14권1호
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    • pp.201-210
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    • 1999
  • We introduce the notion of the Finsler metrics compatible with f(5,1)-structure and investigate the properties of Finsler space with such metrics.

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A NOTE ON CONTACT CONFORMAL CURVATURE TENSOR

  • Pak, Jin-Suk;Shin, Yang-Jae
    • 대한수학회논문집
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    • 제13권2호
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    • pp.337-343
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    • 1998
  • In this paper we show that every contact metric manifold with vanishing contact conformal curvature tensor is a Sasakian space form.

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SEMI-RIEMANNIAN SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

  • Yucesan, Ahmet;Yasar, Erol
    • 대한수학회논문집
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    • 제27권4호
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    • pp.781-793
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    • 2012
  • We study some properties of a semi-Riemannian submanifold of a semi-Riemannian manifold with a semi-symmetric non-metric connection. Then, we prove that the Ricci tensor of a semi-Riemannian submanifold of a semi-Riemannian space form admitting a semi-symmetric non-metric connection is symmetric but is not parallel. Last, we give the conditions under which a totally umbilical semi-Riemannian submanifold with a semi-symmetric non-metric connection is projectively flat.