Surfaces with parallel mean curvature vector

DOI10.1090/S0002-9904-1972-12994-XzbMath0252.53020OpenAlexW1965009585MaRDI QIDQ5665867

Bang-Yen Chen

Publication date: 1972

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1972-12994-x

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global submanifolds (53C40) Local submanifolds (53B25)

Related Items

Differential geometry of submanifolds ⋮ Parallel mean curvature biconservative surfaces in complex space forms ⋮ Surfaces with a parallel isoperimetric section ⋮ On tori with parallel mean curvature vector in a space of constant curvature ⋮ Nonlinear partial differential systems on Riemannian manifolds with their geometric applica\-tions.

Cites Work

• Surfaces of constant mean curvature in manifolds of constant curvature
• Minimal Immersions of 2-Spheres in S 4
• On the mean curvature of submanifolds of euclidean space
• Rigidity theorems for surfaces in euclidean space
• Surfaces in constant curvature manifolds with parallel mean curvature vector field