R. Osserman

activity

19961998

collaborators

3 papers

math.CV1998

A new variant of the Schwarz-Pick-Ahlfors lemma

Robert Osserman

We prove a ``general shrinking lemma'' that resembles the Schwarz--Pick--Ahlfors Lemma and its many generalizations, but differs in applying to maps of a finite disk into a disk, r…

math.CV1997

A sharp Schwarz inequality on the boundary

Robert Osserman

A number of classical results reflect the fact that if a holomorphic function maps the unit disk into itself taking the origin into the origin, and if some boundary point $b$ maps…

math.DG1996

An estimate for the Gauss curvature of minimal surfaces in $R^{m}$ whose Gauss map omits a set of hyperplanes

Robert Osserman, Min Ru

We give an estimate of the Gauss curvature for minimal surfaces in $R^{m}$ whose Gauss map omits more than $m (m + 1) /2$ hyperplanes in $P^{m - 1} (C)$ .

A new variant of the Schwarz-Pick-Ahlfors lemma

A sharp Schwarz inequality on the boundary

An estimate for the Gauss curvature of minimal surfaces in Rm whose Gauss map omits a set of hyperplanes

An estimate for the Gauss curvature of minimal surfaces in $R^{m}$ whose Gauss map omits a set of hyperplanes