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We study closed Einstein-Weyl structure on compact $K$-con\-tact manifolds and prove that a compact $K$-contact manifold admitting a closed Einstein-Weyl structure is Einstein and Sasakian.
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참고문헌 (19)
참고문헌 신청
D. E. Blair / 2002 / Riemannian geometry of contact and symplectic manifolds / Birkhauser
C. P. Boyer / 2000 / On Sasakian Einstein geometry / Internat. J. Math 11(7):873~909
C. P. Boyer / 2001 / Einstein manifolds and contact geometry / Proc. Amer. Math. Soc 129(8):2419~2430
C. P. Boyer / 2006 / On η-Einstein Sasakian geometry / Comm. Math. Phys 262(1):177~208
P. Gauduchon / 1984 / La 1-forme de torsion d’une vari´et´e hermitienne compacte / Math. Ann 267(4):495~518
C. P. Boyer / 2000 / On Sasakian Einstein geometry / Internat. J. Math 11(7):873~909
C. P. Boyer / 2001 / Einstein manifolds and contact geometry / Proc. Amer. Math. Soc 129(8):2419~2430
C. P. Boyer / 2006 / On η-Einstein Sasakian geometry / Comm. Math. Phys 262(1):177~208
P. Gauduchon / 1984 / La 1-forme de torsion d’une vari´et´e hermitienne compacte / Math. Ann 267(4):495~518
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