대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제59권2호
  • /
  • Pages.375-395
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  • 2022
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  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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HARMONICITY OF ALMOST NORDEN SUBMERSIONS BETWEEN ALMOST NORDEN MANIFOLDS

  • Gupta, Garima (Department of Basic and Applied Sciences Punjabi University) ;
  • Kumar, Rakesh (Department of Basic and Applied Sciences Punjabi University) ;
  • Rani, Rachna (Department of Mathematics University College) ;
  • Sachdeva, Rashmi (Department of Basic and Applied Sciences Punjabi University)
  • 투고 : 2021.04.02
  • 심사 : 2021.12.29
  • 발행 : 2022.03.31
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초록

We define an almost Norden submersion (holomorphic and semi-Riemannian submersion) between almost Norden manifolds and show that, in most of the cases, the base manifold has the similar kind of structure as that of total manifold. We obtain necessary and sufficient conditions for almost Norden submersion to be a totally geodesic map. We also derive decomposition theorems for the total manifold of such submersions. Moreover, we study the harmonicity of almost Norden submersions between almost Norden manifolds and between Kaehler-Norden manifolds. Finally, we derive conditions for an almost Norden submersion to be a harmonic morphism.

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참고문헌

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