[Turkmath:7767] Bogazici Universitesi Carsamba Seminerleri - Theodora Bourni

[ferit.ozturk at boun.edu.tr]

Gecmis/gelecek konuşmalar için:
http://www.math.boun.edu.tr/index.php?option=com_content&task=section&id=49&Itemid=405

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Bogazici University Mathematics Colloquium

Curvature estimates for surfaces with bounded mean curvature

Theodora Bourni
Max Planck Institute for Gravitational Physics, Potsdam

Date : Wednesday, June 8, 2011
Time: 14:00
Place: TB 250, Bogazici Universitesi

Abstract: We consider a surface in R3 . The differential of the normal to the
surface, known as
the second fundamental form A, is a very important tool for studying the
geometry of the surface.
In this talk I will first describe how estimates on A give us information about
the curvature of the
surface; in particular when |A| is bounded the surface cannot bend too sharply.
Then I will discuss
some results concerning estimates for the norm of the second fundamental form,
|A|, for surfaces
with bounded mean curvature (i.e. for which the trace of A is bounded). In
particular I will show
that for an embedded geodesic disk with bounded L^2 norm of |A|, |A| is bounded
at interior points,
provided that the W^{1,p} norm of its mean curvature is sufficiently small, p >
2. This is joint work
with Giuseppe Tinaglia.

Tea and coffee will be served at 15:00
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