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Zbl 0704.53017
Lumiste, Ülo
(Lumiste, Yulo)
Semi-symmetric submanifold as the second-order envelope of symmetric submanifolds. (English)
[J] Izv. Akad. Nauk Ehst. SSR, Fiz., Mat. 39, No.1, 1-8 (1990).

A semi-symmetric submanifold carries a Jordan triple structure in its tangent bundle and therefore allows the pointwise construction of a symmetric submanifold with second order contact.
[D.Ferus]
MSC 2000:
*53B25 Local submanifolds

Keywords: R-space; Jordan triple system; semi-symmetric submanifold

Cited in: Zbl 1069.53023 Zbl 0987.53006 Zbl 0901.53012 Zbl 0890.53027

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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