• 제목/요약/키워드: totally geodesic submanifolds

검색결과 41건 처리시간 0.017초

ON INDEFINITE LOCALLY CONFORMAL COSYMPLECTIC MANIFOLDS

  • Massamba, Fortune;Mavambou, Ange Maloko;Ssekajja, Samuel
    • 대한수학회논문집
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    • 제32권3호
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    • pp.725-743
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    • 2017
  • 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.