On an inequality of mean curvatures of higher degree
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- by Bang-yen Chen PDF
- Bull. Amer. Math. Soc. 77 (1971), 157-159
References
- Karol Borsuk, Sur la courbure totale des courbes fermées, Ann. Soc. Polon. Math. 20 (1947), 251–265 (1948) (French). MR 0025757
- 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 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
- Shiing-shen Chern and Richard K. Lashof, On the total curvature of immersed manifolds, Amer. J. Math. 79 (1957), 306–318. MR 84811, DOI 10.2307/2372684
- Werner Fenchel, Über Krümmung und Windung geschlossener Raumkurven, Math. Ann. 101 (1929), no. 1, 238–252 (German). MR 1512528, DOI 10.1007/BF01454836
- T. J. Willmore, Mean curvature of immersed surfaces, An. Şti. Univ. “All. I. Cuza” Iaşi Secţ. I a Mat. (N.S.) 14 (1968), 99–103 (English, with Romanian summary). MR 0238220
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 157-159
- MSC (1970): Primary 5374, 5390; Secondary 5345, 5399
- DOI: https://doi.org/10.1090/S0002-9904-1971-12644-7
- MathSciNet review: 0267491