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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회지 대한수학회지 제58권 제6호
- 발행연도
- 2021.11
- 수록면
- 1,407 - 1,419 (13page)
- DOI
- 10.4134/JKMS.j210025
이용수
초록· 키워드
오류제보하기
The Iwasawa decomposition NAK of the Lie group G = SO0(2, 1) with a left invariant metric produces Riemannian submersions G → N\G, G → A\G, G → K\G, and G → NA\G. For each of these, we calculate the curvature of the base space and the lifting of a simple closed curve to the total space G. Especially in the first case, the base space has a constant curvature 0; the holonomy displacement along a (null-homotopic) simple closed curve in the base space is determined only by the Euclidean area of the region surrounded by the curve.
목차
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참고문헌 (6)
참고문헌 신청
Taechang Byun / 2018 / The topological matter of holonomy displacement on the principal U ( n ) -bundle over D n , m , related to complex surfaces / Journal of Geometry and Physics 127:112~127
Taechang Byun / 2015 / The topological aspect of the holonomy displacement on the principal U(n) bundles over Grassmannian manifolds / Topology and its Applications 196:8~21
T. Byun / 2012 / The geometry of SO(n)nㅣSO0(n; 1) / Geom. Dedicata 161:377~398
최영기 / 2012 / HOLONOMY DISPLACEMENTS IN THE HOPF BUNDLES OVER CHn AND THE COMPLEX HEISENBERG GROUPS / 대한수학회지 49(4):733~743
D. Gromoll / 2009 / Metric foliations and curvature / Birkhauser Verlag
Taechang Byun / 2015 / The topological aspect of the holonomy displacement on the principal U(n) bundles over Grassmannian manifolds / Topology and its Applications 196:8~21
T. Byun / 2012 / The geometry of SO(n)nㅣSO0(n; 1) / Geom. Dedicata 161:377~398
최영기 / 2012 / HOLONOMY DISPLACEMENTS IN THE HOPF BUNDLES OVER CHn AND THE COMPLEX HEISENBERG GROUPS / 대한수학회지 49(4):733~743
D. Gromoll / 2009 / Metric foliations and curvature / Birkhauser Verlag
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