Conformal Geometry Solitons
2012 ◽
Vol 472-475
◽
pp. 123-126
Keyword(s):
In this paper, we deal with a generalization of the Yamabe flow named conformal geometry flow. Firstly we derive a monotone formula of the Einstein-Hilbert functional under the conformal geometry flow. Then we prove the properties that the conformal geometry solitons and conformal geometry breather both have constant scalar curvature at each time by using the modified Einstein-Hilbert function. Finally we present some properties of Yamabe solitons in compact manifold and noncompact manifolds through the equation of Yamabe soliton.
2020 ◽
Vol 17
(12)
◽
pp. 2050177
2019 ◽
Vol 16
(03)
◽
pp. 1950039
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2019 ◽
Vol 16
(04)
◽
pp. 1950053
Keyword(s):
2019 ◽
Vol 21
(03)
◽
pp. 1850021
◽
2012 ◽
Vol 09
(04)
◽
pp. 1220003
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