호남수학학술지 (Honam Mathematical Journal)

  • 제41권2호
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  • Pages.343-356
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  • 2019
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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REMARKS ON METALLIC MAPS BETWEEN METALLIC RIEMANNIAN MANIFOLDS AND CONSTANCY OF CERTAIN MAPS

  • Akyol, Mehmet Akif (Faculty of Arts and Science, Department of Mathematics, Bingol University)
  • 투고 : 2018.10.18
  • 심사 : 2019.01.23
  • 발행 : 2019.06.25
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초록

In this paper, we introduce metallic maps between metallic Riemannian manifolds, provide an example and obtain certain conditions for such maps to be totally geodesic. We also give a sufficient condition for a map between metallic Riemannian manifolds to be harmonic map. Then we investigate the constancy of certain maps between metallic Riemannian manifolds and various manifolds by imposing the holomorphic-like condition. Moreover, we check the reverse case and show that some such maps are constant if there is a condition for this.

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참고문헌

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