Contributions to the Theory of Infinitesimal II-isometries

✍ Scribed by Alois Švec

• Publisher: John Wiley and Sons
• Year: 1978
• Tongue: English
• Weight: 353 KB
• Volume: 83
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19780830105

✦ Synopsis

Contributions to the Theory of Infinitesimal II-isometries

Of ALOIS ~E C

(GSSR)

(Eingegengen a m 8 . 5 . 1975) I do not solve the main problem in the theory, i.e., that each infinitesimal II-isometry Q, of an ovaloid is an infinitesimal I-isometry. Nevertheless, to each @, I associate a certain invariant J,, and I show that J,sO implies that CP is a I-isometry. Further, I present a generalization of t,he following theorem: If 6f(H, K ) =O and fHfK=-O, then @ is a I-isometry.

For further references, see [ 11. Unfortunately, I have no access to the diploma papers of P. J. ERARD (ETH Zurich 1968) and H. BOTHNER (TU Berlin 1975).

This paper has been written during my stay at. t,he Dept. of Geomet.ry of the Humboldt-University in Berlin, GDR.

1. In this section, I am going to prove the following bet, Contributions