Rocky Mountain Journal of Mathematics
- Rocky Mountain J. Math.
- Volume 35, Number 6 (2005), 1811-1824.
A New Proof of Liebmann Classical Rigidity Theorem for Surfaces in Space Forms
Juan A. Aledo, Luis J. Alías, and Alfonso Romero
Article information
Source
Rocky Mountain J. Math., Volume 35, Number 6 (2005), 1811-1824.
Dates
First available in Project Euclid: 5 June 2007
Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1181069618
Digital Object Identifier
doi:10.1216/rmjm/1181069618
Mathematical Reviews number (MathSciNet)
MR2210636
Zentralblatt MATH identifier
1100.53003
Subjects
Primary: 53A05: Surfaces in Euclidean space
Secondary: 53C45: Global surface theory (convex surfaces à la A. D. Aleksandrov)
Keywords
Rigidity theorem compact surface second fundamental form Gaussian curvature Ricci curvature scalar curvature Riemannian connection
Citation
Aledo, Juan A.; Alías, Luis J.; Romero, Alfonso. A New Proof of Liebmann Classical Rigidity Theorem for Surfaces in Space Forms. Rocky Mountain J. Math. 35 (2005), no. 6, 1811--1824. doi:10.1216/rmjm/1181069618. https://projecteuclid.org/euclid.rmjm/1181069618