Orta Doğu Teknik Üniversitesi Matematik Bölümü Seminerleri
Generalizing the Gauss-Bonnet Theorem to the foliation setting
Ken Richardson
Texas Christian University, Amerika Birleşik Devletleri
The Gauss-Bonnet Theorem relates curvature to the
Euler characteristic of a closed manifold or manifold with boundary.
We will define and give examples of Riemannian foliations,
for which an additional invariant, the "basic Euler characteristic", exists.
We give a new formula for this basic Euler characteristic.
