Seminar
| Parent Program: | |
|---|---|
| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
From sectional to Ricci curvature via symmetry
Ricci curvature can be expressed as a sum of sectional curvatures, so lower sectional curvature bounds imply lower Ricci curvature bounds. By computing only partial sums, one obtains a ladder of curvature conditions that interpolate between, for example, positive sectional and positive Ricci curvature.
Recent joint work with Lawrence Mouillé seeks to extends results from the Grove Symmetry Program from the case of positive sectional curvature to the case of positive intermediate curvature in the above sense. Of special interest is the fact that one finds new examples at each step up the ladder from sectional to Ricci curvature.
No Notes/Supplements Uploaded