On the spectral geometry for the Jacobi operators of harmonic maps into a quaternionic projective space

被引：0

作者：

Kang, TH

Pak, JS

机构：

[1] UNIV ULSAN,DEPT MATH,ULSAN 680749,SOUTH KOREA

[2] KYUNGPOOK NATL UNIV,DEPT MATH,TAEGU 702701,SOUTH KOREA

来源：

GEOMETRIAE DEDICATA | 1996年 / 60卷 / 02期

关键词：

spectral geometry; Jacobi operators; harmonic maps; quaternionic projective space; Kahler manifolds;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize both invariant and totally real immersions into the quaternionic projective space by the spectra of the Jacobi operator. Also, we study spectral characterization of harmonic submersions when the target manifold is the quaternionic projective space.

引用

页码：153 / 161

页数：9

共 50 条

[1] THE CONSTRUCTION OF A CLASS OF HARMONIC MAPS TO QUATERNIONIC PROJECTIVE-SPACE
GLAZEBROOK, JF
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1984, 30 (AUG): : 151 - 159
[2] Real hypersurfaces in quaternionic projective spaces with commuting tangent Jacobi operators
Ortega, M
Pérez, JD
GLASGOW MATHEMATICAL JOURNAL, 2003, 45 : 79 - 89
[3] Maps to spaces in the genus of infinite quaternionic projective space
Yau, D
CATEGORICAL DECOMPOSITION TECHNIQUES IN ALGEBRAIC TOPOLOGY, 2004, 215 : 293 - 302
[4] STABLE SELF MAPS OF THE QUATERNIONIC (QUASI-) PROJECTIVE-SPACE
MORISUGI, K
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1984, 20 (05) : 971 - 976
[5] On some moment maps and induced Hopf bundles in the quaternionic projective space
Ornea, L
Piccinni, P
INTERNATIONAL JOURNAL OF MATHEMATICS, 2000, 11 (07) : 925 - 942
[6] A Space of Harmonic Maps from a Sphere into the Complex Projective Space
Kawabe, Hiroko
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2013, 65 (04): : 879 - 904
[7] Real hypersurfaces of a complex projective space in terms of the Jacobi operators
Cho, JT
Ki, UH
ACTA MATHEMATICA HUNGARICA, 1998, 80 (1-2) : 155 - 167
[8] Real Hypersurfaces of a Complex Projective Space in Terms of the Jacobi Operators
Jong Taek Cho
U-Hang Ki
Acta Mathematica Hungarica, 1998, 80 : 155 - 167
[9] SPECTRAL THEORY FOR UNITARY OPERATORS ON A QUATERNIONIC HILBERT-SPACE
SHARMA, CS
COULSON, TJ
JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (09) : 1941 - 1946
[10] THE HOMOTOPY CLASSIFICATION OF SELF-MAPS OF INFINITE QUATERNIONIC PROJECTIVE-SPACE
MISLIN, G
QUARTERLY JOURNAL OF MATHEMATICS, 1987, 38 (150): : 245 - 257

← 1 2 3 4 5 →