2024-03-29T00:57:34Z
https://teapot.lib.ocha.ac.jp/oai
oai:teapot.lib.ocha.ac.jp:00034627
2022-12-12T05:39:00Z
347:359:683
Isotropic Kahler immersions into a complex quadric
Tsukada, Kazumi
400
application/pdf
紀要論文
We give another definition of a complex conformal structure on a complex quadric Q^n and introduce a (local) tensor field J which satisfies J^2=Id(the identity map). A complex subspace W of the tangent space T_pQ^n is called an isotropic complex subspace if JW is orthogonal to W. A Kahler immersion ψ: M^m→Q^n of an m-dimensional Kahler manifold M^m is said to be isotropic if for an arbitrary point p∈M, ψ*(T_pM) is an isotropic complex subspace in T_<ψ(p)>Q^n. We study the properties of higher fundamental forms of isotropic Kahler immersions and show some reduction theorems. Furthermore we construct isotropic Kahler immersions of Kahler C-spaces using orthogonal representations and study the higher normal spaces and the osculating degrees of isotropic Kahler immersions of Hermitian symmetric spaces.
お茶の水女子大学
2006-09
eng
departmental bulletin paper
http://hdl.handle.net/10083/2397
https://teapot.lib.ocha.ac.jp/records/34627
AN00033958
00298190
お茶の水女子大學自然科學報告
57
1
1
30
https://teapot.lib.ocha.ac.jp/record/34627/files/KJ00004830805.pdf
application/pdf
2.2 MB
2018-04-19