3 papers
math.DG2021
A Generalization of Thorpe's Inequality
Brian Klatt
We present a generalization of the topological inequality of Thorpe between the Euler characteristic and -Pontryagin number of a -manifold. We also correct and complete…
math.DG2021
The Euler Class from a General Connection, Relative to a Metric
Brian Klatt
We extend the well-known formula for the Euler class of a real oriented even-dimensional vector bundle in terms of the curvature of a metric connection to the case of a general lin…
math.DG2020
Compact 4-Dimensional Spin Gradient -quasi-Einstein Manifolds Satisfy the Hitchin-Thorpe Inequality when
Brian Klatt
We prove that a compact, connected, and oriented 4-dimensional gradient -quasi-Einstein manifold with which is additionally a spin manifold must satisfy the H…