The Symmetry and the Local Existence and Uniqueness of a Minimal Submanifold

The Symmetry and the Local Existence and Uniqueness of a Minimal Submanifold

descriptionPublicationkeyboard_double_arrow_right Article English Journal:The Symmetry and the Local Existence and Uniqueness of a Minimal Submanifold, volume 42, pages 7-16 (issn: 0386443X,

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The Symmetry and the Local Existence and Uniqueness of a Minimal Submanifold

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Abstract

A symmetric property of a minimal submanifold with respect to an involutive isometry is studied as the initial value problem of the minimal submanifold equation. The local existence and uniquness of this initial value problem is proved by the CauchyKowalevskaja theorem in the real analytic case. 長崎大学教育学部自然科学研究報告. vol.42, p.7-16; 1990

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