2014/05/29 by Peter Gilkey, P. Gilkey, Gilkey, P. +3
Mathematics · Physics and Astronomy · #53C20 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C20
paper · pdf · doi:10.48550/arxiv.1405.7613
This paper has been withdrawn by the authors. A later improved version is available upon request from the authors but will not be posted to the arXiv
openalex publication_date 2014/05/29 · arxiv created 2014/09/17 · arxiv updated 2014/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derive the Chern-Gauss-Bonnet Theorem for manifolds with smooth non-degenerate boundary in the pseudo-Riemannian context from the corresponding result in the Riemannian setting by examining the Euler-Lagrange equations associated to the Pfaffian of a complex "metric" on the tangent space and then applying analytic continuation.