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The object of the present paper is to characterize Sasakian 3-manifolds admitting a gradient Ricci-Yamabe soliton. It is shown that a Sasakian 3-manifold $M$ with constant scalar curvature admitting a proper gradient Ricci-Yamabe soliton is Einstein and locally isometric to a unit sphere. Also, the potential vector field is an infinitesimal automorphism of the contact metric structure. In addition, if $M$ is complete, then it is compact.
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참고문헌 (24)
참고문헌 신청
Y. Akrami / 2015 / The nature of spacetime in bigravity : two metrics or none? / Gen. Relativ. and Grav 47:1838
C. P. Boyer / 2000 / On Sasakian Einstein geometry / Int. J. Math 11:873~909
C. P. Boyer / 2006 / On _-Einstein Sasakian geometry / Comm. Math. Phys 262:177~208
W. Bosko_ / 2018 / A Rosen type bi-metric universe and its physical properties / Int. J. Geom. Methods Mod. Phys 15:1850174
P. Candelas / 1995 / Vacuum con_guration for super-strings / Nuclear Phys. B 258:46~74
C. P. Boyer / 2000 / On Sasakian Einstein geometry / Int. J. Math 11:873~909
C. P. Boyer / 2006 / On _-Einstein Sasakian geometry / Comm. Math. Phys 262:177~208
W. Bosko_ / 2018 / A Rosen type bi-metric universe and its physical properties / Int. J. Geom. Methods Mod. Phys 15:1850174
P. Candelas / 1995 / Vacuum con_guration for super-strings / Nuclear Phys. B 258:46~74
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