2011/78/3-4 (20) — DOI: 10.5486/PMD.2011.4992 — pp. 709-721
Full Text Abstract

On natural Riemann extensions

Authors: Oldřich Kowalski and Masami Sekizawa

Keywords: Riemannian manifold, cotangent bundle, Riemann extension, natural extension, affine map, isometry, Ricci curvature, scalar curvature

Mathematics Subject Classification: 53C07, 53C50, 53B05