Codimension reduction for real submanifolds of quaternionic hyperbolic spaces

被引：0

作者：

H. S. Kim

J. S. Pak

机构：

[1] Inje University,Department of Computational Mathematics, School of Computer Aided Science and Institute of Mathematical Sciences, College of Natural Science

[2] Kyungpook National University,Department of Mathematics Education

来源：

Acta Mathematica Hungarica | 2008年 / 121卷

关键词：

quaternionic hyperbolic space; reduction theorem; quaternionic invariant subspace; -submanifold of maximal ; -dimension; Sasakian 3-structure; 53C40; 53C25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove a reduction theorem of codimension for real submanifolds of quaternionic hyperbolic spaces as a quaternionic analogue corresponding to those in Cecil [2], Erbacher [4], Kawamoto [8], Kwon and the second author [10] and Okumura [13].

引用

页码：21 / 33

页数：12

共 15 条

[1] Allendoerfer C. B.(1939)Rigidity for spaces of class greater than one Amer. J. of Math. Soc. 61 633-644
[2] Cecil T. E.(1974)Geometric applications of critical point theory to submanifolds of complex projective space Nagoya Math J. 55 5-31
[3] Erbacher J.(1971)Reduction of the codimension of an isometric immersion J. Diff. Geom. 5 333-340
[4] Ishihara S.(1973)Quaternion Kählerian manifolds and fibred Riemannian spaces with Sasakian 3-structure Kodai Math. Sem. Rep. 25 321-329
[5] Ishihara S.(1974)Quaternion Kaehlerian manifolds J. Diff. Geom. 9 483-500
[6] Kawamoto S.(1994)Codimension reduction for real submanifolds of a complex hyperbolic space Rev. Mat. Univ. Complut. Madrid 7 119-128
[7] Konishi M.(1975)On manifolds with Sasakian 3-structure over quaternion Kaehler manifolds Kodai Math. Sem. Rep. 26 194-200
[8] Kwon J.-H.(1999)Codimension reduction for real submanifolds of quaternionic projective space J. Korean Math. Soc. 36 109-123
[9] Pak J. S.(1985)Real hypersurfaces of a complex hyperbolic space J. Math. Soc. Japan 37 515-535
[10] Montiel S.(1986)On some real hypersurfaces of a complex hyperbolic space Geom. Dedicata 20 245-261

← 1 2 →