5 citations · 21 across the 31 of their papers we have counts for
4 papers · 1 filter
Holomorphic motions and complex geometry
Hervé Gaussier, Harish Seshadri
We show that the graph of a holomorphic motion of the unit disc cannot be biholomorphic to a strongly pseudoconvex domain in C n .
On the Gromov hyperbolicity of convex domains in Cn
Hervé Gaussier, Harish Seshadri
We give a necessary complex geometric condition for a bounded smooth convex domain in Cn, endowed with the Kobayashi distance, to be Gromov hyperbolic. More precisely, we prove tha…
Totally geodesic discs in strongly convex domains
Herve Gaussier, Harish Seshadri
We prove that Kobayashi isometries between strongly convex domains are holomorphic or anti-holomorphic. More precisely, let be positive integers and let $Ω_i \subset \C^…
On the holomorphicity of isometries of intrinsic metrics in complex analysis
Harish Seshadri, Kaushal Verma
Let $\1$ and $\2$ be $\s$ domains in $\Cn$ and $f: \1 \rt \2$ an isometry for the Kobayashi or Carathéodory metrics. Suppose that extends as a map to $ \bar \om_1$. We th…