Tsukuba Journal of Mathematics

Semisurfaces and the equations of Codazzi-Mainardi

Naoya Ando

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Abstract

In this paper, we shall describe the equations of Codazzi-Mainardi for a surface without any umbilical point, using the gradient vector fields of the mean curvature function and the Gaussian curvature function. In addition, based on this description, we shall obtain a homogeneous polynomial, which is an analogue of a Codazzi-Mainardi polynomial obtained in [3], and we shall find a relation between two polynomials.

Article information

Source
Tsukuba J. Math., Volume 30, Number 1 (2006), 1-30.

Dates
First available in Project Euclid: 30 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.tkbjm/1496165026

Digital Object Identifier
doi:10.21099/tkbjm/1496165026

Mathematical Reviews number (MathSciNet)
MR2248281

Zentralblatt MATH identifier
1117.53005

Citation

Ando, Naoya. Semisurfaces and the equations of Codazzi-Mainardi. Tsukuba J. Math. 30 (2006), no. 1, 1--30. doi:10.21099/tkbjm/1496165026. https://projecteuclid.org/euclid.tkbjm/1496165026


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