Southern California Conferences for Undergraduate Research

Southern California Conferences for Undergraduate Research

Amalgamatic Curvature and Absolutely Umbilical Hypersurfaces

Authors:

Charles Conley, Rebecca Etnyre, Brady Gardener, Lucy Odom

Mentor:

Bogdan Suceava, Professor of Mathematics, Ph.D., California State University Fullerton

We review the concept of curvature on hypersurfaces and introduce a new curvature invariant called amalgamatic curvature. We explore its geometric interpretation by proving an inequality relating it to the absolute mean curvature of the hypersurface. We obtain a new class of geometric objects: the absolutely umbilical hypersurfaces. We will illustrate this class through examples.


Presented by:

Lucy Odom

Date:

Saturday, November 17, 2012

Time:

2:30 PM — 2:45 PM

Room:

Bell Tower 2505

Presentation Type:

Oral Presentation

Discipline:

Mathematics
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