Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
Daren Cheng, Department of Pure Mathematics, University of Waterloo
"The second variation of area of minimal surfaces in four-manifolds (Part 2)"
I'll continue talking about the work of Micallef and Wolfson on minimal surfaces in oriented Riemannian 4-manifolds. I'll start by recalling from my previous talk the averaged 2nd variation formula of area, and the index lower bound that follows from it under a condition on the scalar and Weyl part of the ambient curvature. I'll then explain how this curvature condition is implied by a few other more classical ones, for instance the condition that the sectional curvatures are strictly pointwise 1/4-pinched. Finally I'll talk about some applications of the index lower bound.
Zoom meeting:
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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