On proper Fredholm submanifolds in a Hilbert space arising from submanifolds in a symmetric space

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概要

• 論文の詳細を見る

• For a given symmetric space of compact type, it is known that a certain Riemannian submersion of a Hilbert space onto the symmetric space is nat-urally defined. In this paper, we describe the principal curvatures and the principal distributions of the inverse image (which becomes a proper Fredholm submanifold) of a curvature adapted submanifold in the symmetric space under this Riemannian submer-sion. The curvature adapted submanifold is minimal if and only if the inverse image is formally minimal in certain sense.

• 2002-10-01

著者

• Koike Naoyuki

  Department Of Material And Life Chemistry Faculty Of Engineering Kanagawa University

• Koike Naoyuki

  Department Of Mathematics Faculty Of Science Science University Of Tokyo

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