The analogue of the Grassmannian image for submanifolds of a sphere

V. A. Gorkavyy

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine

Abstract: We study the analogue of the Grassmannian image for submanifolds of a sphere, as described by Obata, and investigate the problem of reconstructing a submanifold from its Grassmannian image.

UDC: 514

MSC: Primary 53C25; Secondary 53C35, 53C42

Received: 04.01.1996

DOI: 10.4213/sm156

 English version: Sbornik: Mathematics, 1996, 187:9, 1283–1300

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