Abstract.
This is a sequel to “A theorem of H. Hopf and the Cauchy-Riemann inequality” [AdCT]. Here the result of the previous paper is extended (see the precise statement in Section 1 of the present paper) to surfaces in three-dimensional homogeneous Riemannian manifolds whose group of isometries has dimension four and the bundle curvature is nonzero, whereas in the previous paper only the case of vanishing bundle curvature was treated.
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* Partially supported by MEC-FEDER Grant No. MTM 2004-00160.
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Alencar, H., do Carmo, M., Fernández*, I. et al. A theorem of H. Hopf and the Cauchy-Riemann inequality II. Bull Braz Math Soc, New Series 38, 525–532 (2007). https://doi.org/10.1007/s00574-007-0058-x
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DOI: https://doi.org/10.1007/s00574-007-0058-x