Abstract
We generalize the Gauss-Bonnet theorem for Alexandrov surfaces and show that we can define the Gaussian curvature almost everywhere on an Alexandrov surface.
Citation
Yoshiroh MACHIGASHIRA. "The Gaussian curvature of Alexandrov surfaces." J. Math. Soc. Japan 50 (4) 859 - 878, October, 1998. https://doi.org/10.2969/jmsj/05040859
Information
Published: October, 1998
First available in Project Euclid: 27 October 2008
zbMATH: 0936.53044
MathSciNet: MR1643359
Digital Object Identifier: 10.2969/jmsj/05040859
Subjects:
Primary:
53C45
Rights: Copyright © 1998 Mathematical Society of Japan
