Surfaces with parallel mean curvature vector

Author:
Bang-Yen Chen

Journal:
Bull. Amer. Math. Soc. **78** (1972), 709-710

MSC (1970):
Primary 53A05, 53A10

DOI:
https://doi.org/10.1090/S0002-9904-1972-12994-X

MathSciNet review:
0300204

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References | Similar Articles | Additional Information

**1.**B.-Y. Chen,*On the mean curvature of submanifolds of euclidean space*. Bull. Amer. Math. Soc. 77 (1971), 741-743. MR**284953****2.**B.-Y. Chen and G. D. Ludden,*Rigidity theorems for surfaces in euclidean space*. Bull. Amer. Math. Soc. 78 (1972), 72-73. MR**290302****3.**D. A. Hoffman,*Surfaces in constant curvature manifolds with parallel mean curvature vector field*, Bull. Amer. Math. Soc. 78 (1972), 247-250. MR**298601****4.**D. A. Hoffman,*Surfaces of constant mean curvature in constant curvature manifolds*(to appear).**5.**H. B. Lawson, Jr.,*Minimal varieties in constant curvature manifolds*, Thesis, Stanford University, Stanford, Calif., 1968.**6.**E. A. Ruh,*Minimal immersions of 2-spheres in S*^{4}, Proc. Amer. Math. Soc. 28 (1971), 219-222. MR 42 #6761. MR**271880**

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DOI:
https://doi.org/10.1090/S0002-9904-1972-12994-X