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Transactions of the American Mathematical Society

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Total mean curvature of immersed surfaces in $ E\sp{m}$


Author: Bang-yen Chen
Journal: Trans. Amer. Math. Soc. 218 (1976), 333-341
MSC: Primary 53C40
DOI: https://doi.org/10.1090/S0002-9947-1976-0397623-6
MathSciNet review: 0397623
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Abstract: Total mean curvature and value-distribution of mean curvature for certain pseudo-umbilical surfaces are studied.


References [Enhancements On Off] (What's this?)

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  • [5] T. J. Willmore, Mean curvature of immersed surfaces, An. Sti. Univ. ``A1. I Cuza'' Iaşi. Seçt. I a Mat. 14 (1968), 99-103. MR 38 #6496. MR 0238220 (38:6496)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1976-0397623-6
Keywords: Total mean curvature, pseudo-umbilical surfaces, Clifford torus, real projective plane, normal connection, Laplace's equation
Article copyright: © Copyright 1976 American Mathematical Society

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