KLI

ON CERTAIN CONDITIONS TO BE HARMONIC MAPS BETWEEN QUATERNIONIC KAEHLER MANIFOLDS

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Abstract
Let (M, g), (N, h) be quaternionic Kaehler manifolds of dimensions 4m, 4n with almost Hermitian structures {I, J, K}, {F, G, H}, and local 1-forms {p ̄, q ̄, r ̄}, {p, q, r}, respectively. Suppose that

φ_*I=Fφ_*, φ_*J=Gφ_*,

p ̄=φ^*p, q ̄=φ^*q, r ̄=φ^*r.

If there exists an m-dimensional submanifold S of M such that the restriction of φ to S is harmonic, then the map φ : M → N is harmonic.
Let (M, g), (N, h) be quaternionic Kaehler manifolds of dimensions 4m, 4n with almost Hermitian structures {I, J, K}, {F, G, H}, and local 1-forms {p ̄, q ̄, r ̄}, {p, q, r}, respectively. Suppose that

φ_*I=Fφ_*, φ_*J=Gφ_*,

p ̄=φ^*p, q ̄=φ^*q, r ̄=φ^*r.

If there exists an m-dimensional submanifold S of M such that the restriction of φ to S is harmonic, then the map φ : M → N is harmonic.
Author(s)
KANG, TAE HO
Issued Date
2002
Type
Research Laboratory
URI
https://oak.ulsan.ac.kr/handle/2021.oak/5382
http://ulsan.dcollection.net/jsp/common/DcLoOrgPer.jsp?sItemId=000002025466
Alternative Author(s)
강태호
Publisher
자연과학논문집
Language
eng
Rights
울산대학교 저작물은 저작권에 의해 보호받습니다.
Citation Volume
12
Citation Number
1
Citation Start Page
61
Citation End Page
67
Appears in Collections:
Research Laboratory > Journal of natural science
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