Date of Award
2018
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Graduate Group
Mathematics
First Advisor
Christopher B. Croke
Abstract
We prove an inequality between the sum of the Betti numbers of a complex projective manifold and its total curvature, and we characterize the complex projective manifolds whose total curvature is minimal. These results extend the classical theorems of Chern and Lashof to complex projective space.
Recommended Citation
Hoisington, Joseph Ansel, "On The Total Curvature And Betti Numbers Of Complex Projective Manifolds" (2018). Publicly Accessible Penn Dissertations. 2791.
https://repository.upenn.edu/edissertations/2791