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Real Hypersurfaces in Complex Two-Plane Grassmannians with GTW Harmonic Curvature

  Published:2015-07-14
 Printed: Dec 2015
  • Juan de Dios PĂ©rez,
    Departamento de Geometria y Topologia, Universidad de Granada, 18071-Granada, Spain
  • Young Jin Suh,
    Department of Mathematics, Kyungpook National University, Daegu 702-701, Republic of Korea
  • Changhwa Woo,
    Department of Mathematics, Kyungpook National University, Daegu 702-701, Republic of Korea
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Abstract

We prove the non-existence of Hopf real hypersurfaces in complex two-plane Grassmannians with harmonic curvature with respect to the generalized Tanaka-Webster connection if they satisfy some further conditions.
Keywords: real hypersurfaces, complex two-plane Grassmannians, Hopf hypersurface, generalized Tanaka-Webster connection, harmonic curvature real hypersurfaces, complex two-plane Grassmannians, Hopf hypersurface, generalized Tanaka-Webster connection, harmonic curvature
MSC Classifications: 53C40, 53C15 show english descriptions Global submanifolds [See also 53B25]
General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C40 - Global submanifolds [See also 53B25]
53C15 - General geometric structures on manifolds (almost complex, almost product structures, etc.)
 

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