논문KCI 등재
A subfoliation of a $CR$-foliation on a locally conformal almost K\"ahler manifold
A subfoliation of a $CR$-foliation on a locally conformal almost K\"ahler manifold
2
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
The present paper treats with a subfoliation of a CRfoliation F on an almost Hermitian manifold M. When M is locally conformal almost K¨ahler, it has three CR-foliations. We show that a CR-foliation F on such manifold M admits a canonical subfoliation D⊥ F defined by its totally real subbundle. Furthermore, we investigate some cohomology classes for D⊥ F. Finally, we construct a new one from an old locally conformal almost K¨ahler (in particular, an almost generalized Hopf) manifold.
참고문헌 (9)
- "Hypersurfaces in almost contact manifolds", 21 (1969)
- "The canonical foliations of a locally conformalKahler manifold", 141 (1985)
- "G-foliations and their characteristic classes", 84 (1978)
- "On αβ-Einstein almost generalized Hopf manifolds", 46, pp.17~ (1995)
- "On one-dimenaional metric foliations in Einstein spaces", 36 (1992)
- "On localy conformal almost K ahler manifolds", 24 (1976)
- "Localy conformal Kahler manifolds with paralel Le form", 12 (1979)
- "Almost Hermitian submersions", 11 (1976)
- "Almost Hermitian submersions", 11 (1976)
관련 논문AI추천
Generalized CR-submanifolds of a $T$-manifoldA. K. Sengupta, U. C. De, Y. Matsuyama한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제3호A theorem on almost Hermitian manifolds김재만대한수학회 · 대한수학회논문집2024 · 제39권 제4호Certain contact $CR$-submanifolds of an odd-dimensional unit sphere김향숙, 박진석대한수학회 · 대한수학회보2007 · 제44권 제1호The properties of Riemannian foliations admitting transversal conformal fields이금란, 정승달대한수학회 · 대한수학회보2018 · 제55권 제4호Contact three $CR$-submanifolds of a $(4m+3)$-dimensional unit sphere권정환, 김영미, 김향숙, 박진석대한수학회 · 대한수학회지2007 · 제44권 제2호Existence of Proper Contact CR Product and Mixed Foliate Contact CR Submanifolds of E^{2m+1} (-3)김향숙, 박은미, 박진숙영남수학회 · East Asian Mathematical Journal2014 · 제30권 제1호
이 간행물의 다른 논문 (10건)
Central limit type theorem for weighted particle systemsNhansook Cho, Youngmee Kwonpp. 773-793Some inequalities on totally real submanifolds in locally conformal Kaehler space forms김영호, 윤대원, AlfonsoCarriazopp. 795-808Almost K\"ahler metrics with non-positive scalar curvature which are Euclidean away from a compact setYutae Kang, Jongsu Kimpp. 809-820Optimality conditions and duality models for minmax fractional optimal control problems containing arbitrarynormsG. J. Zalmaipp. 821-864The spectral geometry of Einstein manifolds with boundaryJeongHyeong Parkpp. 875-882
