Real hypersurfaces in complex two-plane Grassmannians with parallel Ricci tensor
2012 ◽
Vol 142
(6)
◽
pp. 1309-1324
◽
Keyword(s):
We introduce the full expression of the curvature tensor of a real hypersurface M in complex two-plane Grassmannians G2(ℂm+2) from the Gauss equation. We then derive a new formula for the Ricci tensor of M in G2(ℂm+2). Finally, we prove that there does not exist any Hopf real hypersurface in complex two-plane Grassmannians G2(ℂm+2) with parallel Ricci tensor.
2015 ◽
Vol 26
(01)
◽
pp. 1550008
◽
2021 ◽
Vol 58
(3)
◽
pp. 308-318
Keyword(s):
2016 ◽
Vol 106
◽
pp. 130-142
◽
2014 ◽
Vol 287
(13)
◽
pp. 1524-1529
◽
Keyword(s):