M. Abreu

activity

19972005

collaborators

Showing 1999Show all

2 papers · 1 filter

math.SG1999

Topology of symplectomorphism groups of rational ruled surfaces

Miguel Abreu, Dusa McDuff

Let $M$ be either $S^{2} \times S^{2}$ or the one point blow-up $\cp# \bcp$ of $\cp$. In both cases $M$ carries a family of symplectic forms $\om_\la$, where $\la > -1$ determines the c…

math.SP1999

On the invariant spectrum of $S^{1}$ -invariant metrics on $S^{2}$

Miguel Abreu, Pedro Freitas

A theorem of J. Hersch (1970) states that for any smooth metric on $S^{2}$ , with total area equal to $4 π$ , the first nonzero eigenvalue of the Laplace operator acting on functions is…

Topology of symplectomorphism groups of rational ruled surfaces

On the invariant spectrum of S1-invariant metrics on S2

On the invariant spectrum of $S^{1}$ -invariant metrics on $S^{2}$