Some Results of Infinitesim al II- isometry of Closed Surfaces.

Authors
Citation
Jiazu, Zhou, Some Results of Infinitesim al II- isometry of Closed Surfaces., Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 6(4), 1990, pp. 327-333
ISSN journal
10009574
Volume
6
Issue
4
Year of publication
1990
Pages
327 - 333
Database
ACNP
SICI code
Abstract
In this paper, we continue the discussion of the conjecture which says that infinitesimal 11-isometry of surface is infinitesimal 1-isometry. i. e., infinitesimally rigid. We have some invariants by means of which some integral formulas are worked out. As an application to these integral formu las. we get some results on infinitesimal II-isometry of closed surface. The theorems proved are just more or less obvious generalizations of known results.