Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Minimal surfaces with the Ricci condition in $ 4$-dimensional space forms


Author: Makoto Sakaki
Journal: Proc. Amer. Math. Soc. 121 (1994), 573-577
MSC: Primary 53C42
DOI: https://doi.org/10.1090/S0002-9939-1994-1195731-X
MathSciNet review: 1195731
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ {X^N}(c)$ denote the N-dimensional simply connected space form of constant curvature c. We consider a problem to classify those minimal surfaces in $ {X^N}(c)$ which are locally isometric to minimal surfaces in $ {X^3}(c)$. In this paper we solve this problem in the case where $ N = 4$, and give a result also in higher codimensional cases.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 53C42

Retrieve articles in all journals with MSC: 53C42


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1195731-X
Article copyright: © Copyright 1994 American Mathematical Society