논문KCI 등재
The properties of the transversal Killing spinor and transversal twistor spinor for Riemannian foliations
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Abstract
We study the properties of the transversal Killing and twistorspinors for a Riemannian foliation with a transverse spinstructure. And we investigate the relations between them. As anapplication, we give a new lower bound for the eigenvalues of thebasic Dirac operator by using the transversal twistor operator.
참고문헌 (18)
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- "The first eigenvalue of the transversal Diracoperator", 39, pp.253~264 (2001)
- "^Basic Dirac operator^transversaltwister operator", 8, pp.157~169 (2004)
- "A transversal Dirac operator and some vanishingtheoerems on a complete foliated Riemannian manifold", 16, pp.97~ (1993)
- "Lower bounds for theeigenvalues of the basic Dirac operator on a Riemannianfoliation", 51, pp.166~182 (2004)
- "Proc. National Science Foundation Conference on Harmonic Maps Lecture Notes in Math. 949", pp.87~ (1982), Springer-Verlag
- "On the twistor-spinors", 18, pp.333~ (1989)
- "Mean curvature ofRiemannian foliations,", 39, pp.95~105 (1996)
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- "Foliations on Riemannian manifolds" (1988), Springer-Verlag
관련 논문AI추천
The properties of Riemannian foliations admitting transversal conformal fields이금란, 정승달대한수학회 · 대한수학회보2018 · 제55권 제4호TRANSVERSE KILLING FORMS ON A KAHLER FOLIATION정민주, 정승달대한수학회 · 대한수학회보2012 · 제49권 제3호Eigenvalues of Type r of the Basic Dirac Operator on Kähler Foliations정승달경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제3호A note on generalized Lichnerowicz-Obata theorems for Riemannian foliations박정형, 박홍경대한수학회 · 대한수학회보2011 · 제48권 제4호On transversally harmonic maps of foliated Riemannian manifolds정민주, 정승달대한수학회 · 대한수학회지2012 · 제49권 제5호A subfoliation of a $CR$-foliation on a locally conformal almost K\"ahler manifoldHong Kyung Pak, Tae Wan Kim대한수학회 · 대한수학회지2004 · 제41권 제5호
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