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Affine biharmonic submanifolds in 3-dimensional pseudo-Hermitian geometry

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Abstract

The notion of biharmonic map between Riemannian manifolds is generalized to maps from Riemannian manifolds into affine manifolds. Hopf cylinders in 3-dimensional Sasakian space forms which are biharmonic with respect to Tanaka-Webster connection are classified.

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Authors and Affiliations

  1. Department of Mathematics, Chonnam National University, CNU The Institute of Basic Science, Kwangju, 500-757, Korea

    Jong Taek Cho

  2. Department of Mathematics Education, Faculty of Education, Utsunomiya University, Minemachi 350, Utsunomiya, 321-8505, Japan

    Jun-ichi Inoguchi

  3. National Institute for Mathematical Sciences, 385-16, Doryong-dong, Yuseong-gu, Daejeon, 305-340, Korea

    Ji-Eun Lee

Authors
  1. Jong Taek Cho
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  2. Jun-ichi Inoguchi
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  3. Ji-Eun Lee
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Correspondence to Jun-ichi Inoguchi.

Additional information

Communicated by V. Cortés.

Dedicated to professor John C. Wood on his 60th birthday.

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Cho, J.T., Inoguchi, Ji. & Lee, JE. Affine biharmonic submanifolds in 3-dimensional pseudo-Hermitian geometry. Abh. Math. Semin. Univ. Hambg. 79, 113–133 (2009). https://doi.org/10.1007/s12188-008-0014-8

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  • DOI: https://doi.org/10.1007/s12188-008-0014-8

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