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math.DG2020
Non-existence of complete Kähler metric of negatively pinched holomorphic sectional curvature
Gunhee Cho
We show the theorem which provides some sufficient condition to the non-existence of a complete Kähler--Einstein metric of negative scalar curvature whose holomorphic sectional cur…
math.DG2020
Bergman metric on the symmetrized bidisc and its consequences
Gunhee Cho, Yuan Yuan
On the symmetrized bidisc G2 with the Bergman metric, the holomorphic sectional curvature is negatively pinched and the holomorphic bisectional curvature is not. The consequences i…
math.DG2020
The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration
Fabrice Baudoin, Gunhee Cho
In this note, we study the sub-Laplacian of the 15-dimensional octonionic anti-de Sitter space which is obtained by lifting with respect to the anti-de Sitter fibration the Laplaci…