The intersection of two real forms in Hermitian symmetric spaces of compact type Japan no
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- Tanaka Makiko Sumi
- Faculty of Science and Technology, Tokyo University of Science
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- Tasaki Hiroyuki
- Division of Mathematics, Faculty of Pure and Applied Sciences, University of Tsukuba
書誌事項
- タイトル別名
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- The intersection of two real forms in Hermitian symmetric spaces of compact type
- The intersections of two real forms in Hermitian symmetric spaces of compact type
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抄録
We show that the intersections of two real forms, certain totally geodesic Lagrangian submanifolds, in Hermitian symmetric spaces of compact type are antipodal sets. The intersection number of two real forms is invariant under the replacement of the two real forms by congruent ones. If two real forms are congruent, then their intersection is a great antipodal set of them. It implies that any real form in Hermitian symmetric spaces of compact type is a globally tight Lagrangian submanifold. Moreover we describe the intersection of two real forms in the irreducible Hermitian symmetric spaces of compact type.
収録刊行物
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 64 (4), 1297-1332, 2012
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390001205114404608
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- NII論文ID
- 10031177268
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- MRID
- 2998924
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- NDL書誌ID
- 024019914
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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