On the mean curvature of submanifolds of euclidean space
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- by Bang-yen Chen PDF
- Bull. Amer. Math. Soc. 77 (1971), 741-743
References
- Bang-yen Chen, On an inequality of T. J. Willmore, Proc. Amer. Math. Soc. 26 (1970), 473–479. MR 266113, DOI 10.1090/S0002-9939-1970-0266113-3
- Bang-yen Chen, On an inequality of mean curvatures of higher degree, Bull. Amer. Math. Soc. 77 (1971), 157–159. MR 267491, DOI 10.1090/S0002-9904-1971-12644-7
- Bang-yen Chen, On the total curvature of immersed manifolds. I. An inequality of Fenchel-Borsuk-Willmore, Amer. J. Math. 93 (1971), 148–162. MR 278240, DOI 10.2307/2373454
- Bang-yen Chen, On the total curvature of immersed manifolds. II. Mean curvature and length of second fundamental form, Amer. J. Math. 94 (1972), 799–809. MR 319114, DOI 10.2307/2373759
- Kentaro Yano and Bang-yen Chen, Minimal submanifolds of a higher dimensional sphere, Tensor (N.S.) 22 (1971), 369–373. MR 287495
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 741-743
- MSC (1970): Primary 53A05, 53A10, 53B25; Secondary 53C40
- DOI: https://doi.org/10.1090/S0002-9904-1971-12792-1
- MathSciNet review: 0284953