作者: Sergio Console , Carlos Olmos
DOI: 10.1090/S0002-9939-08-09669-X
关键词: Mathematical analysis 、 Killing vector field 、 Direct method 、 Isometry 、 Curvature 、 Mathematics 、 Invariance principle 、 Pure mathematics 、 Mathematical proof 、 Vector field 、 Invariant (mathematics)
摘要: A direct, bundle-theoretic method for defining and extending local isometries out of curvature data is developed. As a by-product, conceptual direct proofs classical result Singer recent the authors are derived.