ON CERTAIN CONDITIONS TO BE HARMONIC MAPS BETWEEN QUATERNIONIC KAEHLER MANIFOLDS
- 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
-
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- Research Laboratory > Journal of natural science
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