The type number of the cosymplectic hypersurfaces of 6-dimensional hermitian submanifolds of the Cayley algebra

M. B. Banaru

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The type number of the cosymplectic hypersurfaces of 6-dimensional hermitian submanifolds of the Cayley algebra

机译：Cayley代数的6维Hermitian子流形的渐近超曲面的类型数

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摘要

We study the 6-dimensional oriented submanifolds of the Cayley algebra which are endowed with the Hermitian structure induced by 3-folds vector cross products. We prove that the type number of a cosymplectic hypersurface of a 6-dimensional Hermitian submanifold of the Cayley algebra is at most 3 and that a 6-dimensional Kahler submanifold of the octave algebra has no cosymplectic hypersurfaces with the type number greater than one.

机译：我们研究了Cayley代数的6维定向子流形，这些子流形具有由3倍向量叉积诱导的厄米结构。我们证明了Cayley代数的6维Hermitian子流形的一个渐近超曲面的类型数最多为3个，并且倍频程的6维Kahler子流形不具有类型数大于1的同心超曲面。

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《Siberian Mathematical Journal》 |2003年第5期|共9页
作者
M. B. Banaru;
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正文语种 eng
中图分类数学;
关键词
Cayley algebra; Hermitian manifold; hypersurface; cosymplectic structure; type number;

机译：Cayley代数;Hermitian流形;超曲面;折衷结构;类型编号;

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1. Two theorems on cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of Cayley algebra [J] . 哈尔滨工业大学学报（英文版） . 2001,第001期
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3. The type number of the cosymplectic hypersurfaces of 6-dimensional hermitian submanifolds of the Cayley algebra [J] . M. B. Banaru Siberian Mathematical Journal . 2003,第5期

机译：Cayley代数的6维Hermitian子流形的渐近超曲面的类型数
4. THE KENMOTSU HYPERSURFACES AXIOM FOR 6-DIMENSIONAL HERMITIAN SUBMANIFOLDS OF THE CAYLEY ALGEBRA [J] . M. B. Banaru Siberian Mathematical Journal . 2014,第2期

机译：Cayley代数的6维Hermitian子流形的KENMOTSU超曲面公理
5. On Sasakian hypersurfaces in 6-dimensional Hermitian submanifolds of the Cayley algebra [J] . Banaru MB Sbornik. Mathematics . 2003,第7a8期

机译：Cayley代数的6维Hermitian子流形中的Sasakian超曲面
6. Timelike canal hypersurfaces of spacelike submanifolds in a de Sitter space [C] . Masaki Kasedou International Workshop on Real and Complex Singularities . 2012

机译：在De Satter空间中的空间子宫内纤维的时间般的运河
7. ON THE HYPERSURFACES OF HERMITIAN SYMMETRIC SPACES OF COMPACT TYPE [D] . Kimura, Yoshio -1

机译：关于紧型的埃尔米特对称空间的超曲面
8. ON HERMITIAN OPERATORS OVER THE CAYLEY ALGEBRA [O] . A. A. Albert 1955

机译：关于Cayley代数上的Hermitian算子
9. Three theorems on cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of the Cayley algebra [O] . M. Banaru, Ahmad Al-Othman 2003

机译：Cayley代数六维Hermitian子流形的Cosymplectic超曲面三个定理

The type number of the cosymplectic hypersurfaces of 6-dimensional hermitian submanifolds of the Cayley algebra

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