Immersionen mit paralleler zweiter Fundamentalform: Beispiele und Nicht-Beispiele

June 1974, Volume 12, Issue 2, pp 153–162 | Cite as

Article

Received: 16 November 1973

Abstract

1.

We show that symmetric R-spaces can. be imbedded in euclidean space with parallel second fundamental tensor (Dα=0).
2.

We give a restrictive necessary condition for totally geodesic submanifolds of the Grassmannian to be the Gauss image of an immersion with Dα=0, c.f. [9].

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