Výsledky vyhledávání - "Ikawa, Osamu"

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Double Satake diagrams and canonical forms in compact symmetric triads

Autor: Baba, Kurando, Ikawa, Osamu

In this paper, we first introduce the notion of double Satake diagrams for compact symmetric triads. In terms of this notion, we give an alternative proof for the classification theorem for compact symmetric triads, which was originally given by Tosh

Externí odkaz: http://arxiv.org/abs/2205.08410

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A duality between non-compact semisimple symmetric pairs and commutative compact semisimple symmetric triads and its general theory

Autor: Baba, Kurando, Ikawa, Osamu, Sasaki, Atsumu

Publikováno v: Differential Geom. Appl. 76 (2021), 101751

The present paper investigates a natural generalization of the duality between Riemannian symmetric pairs of compact type and those of non-compact type \`a la \'E. Cartan. The main result of this paper is to construct an explicit description of a one

Externí odkaz: http://arxiv.org/abs/2002.00896

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Orbits of s-representations with degenerate Gauss mappings

Autor: Ikawa, Osamu, Sakai, Takashi, Tasaki, Hiroyuki

In this paper we study tangentially degeneracy of the orbits of s-representations in the sphere. We show that an orbit of an s-representation is tangentially degenerate if and only if it is through a long root, or a short root of restricted root syst

Externí odkaz: http://arxiv.org/abs/0803.2391

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Weakly reflective submanifolds and austere submanifolds

Autor: Ikawa, Osamu, Sakai, Takashi, Tasaki, Hiroyuki

We introduce the notion of a weakly reflective submanifold, which is an austere submanifold with a certain global condition, and study its fundamental properties. Using these, we determine weakly reflective orbits and austere orbits of s-representati

Externí odkaz: http://arxiv.org/abs/math/0612384

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