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Spectral decomposition of the mean curvature vector field of surfaces in a Sasakian manifold R2n+1(−3)

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Abstract

We study surfaces in a Sasakian manifold R2n++1(−3) whose mean curvature vector fields admit a finite spectral decomposition with respect to certain elliptic linear differential operators.

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Authors and Affiliations

  1. Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan

    Tooru Sasahara

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  1. Tooru Sasahara
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Correspondence to Tooru Sasahara.

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Sasahara, T. Spectral decomposition of the mean curvature vector field of surfaces in a Sasakian manifold R2n+1(−3). Results. Math. 43, 168–180 (2003). https://doi.org/10.1007/BF03322733

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  • DOI: https://doi.org/10.1007/BF03322733

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