RT Journal Article
T1 Solutions to the affine quasi-Einstein equation for homogeneous surfaces
A1 Brozos Vázquez, Miguel
A1 García Río, Eduardo
A1 Gilkey, Peter
A1 Valle Regueiro, Xabier
K1 Affine quasi-Einstein equation
K1 Homogeneous affine surface
K1 Affine Killing vector field
K1 Type A
K1 Type B
K1 Type C geometry
AB We examine the space of solutions to the affine quasi–Einstein equation in the context of homogeneous surfaces. As these spaces can be used to create gradient Yamabe solitons, conformally Einstein metrics, and warped product Einstein manifolds using the modified Riemannian extension, we provide very explicit descriptions of these solution spaces.We use the dimension of the space of affine Killing vector fields to structure our discussion as this provides a convenient organizational framework.
PB De Gruyter
YR 2020
FD 2020
LK http://hdl.handle.net/10347/33775
UL http://hdl.handle.net/10347/33775
LA eng
NO Adv. Geom. 2020; 20 (3):413–432
NO Supported by projects MTM2016-75897-P and ED431C 2019/10 with FEDER Funds (Spain).
DS Minerva
RD 27 abr 2026