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Daniele Bartolucci

2011-01-12
11:30:00 - 11:55:00

R102 , Astronomy and Mathematics Building

It is well known that:

1) If g is a conformal metric on S^2 with one conical singularity of order -1 < a < 0, then the gaussian curvature induced by g cannot be constant;

2) If g is a conformal metric on S^2 with two conical singularities of order -1 < a_1 <= a_2 < 0 and constant gaussian curvature, then a_1=a_2.

In this talk we will obtain the values of the best pinching constants for these singular metrics.

For material related to this talk, click here.