9781681735658 - Aspects of Differential Geometry IV: 4 (Synthesis Lectures on Mathematics and Statistics) de Calviño-Louzao, Esteban; García-Río, Eduardo; Gilkey, Peter (1 resultados)

Hardback. Condición: New. new copies no faults. Book IV continues the discussion begun in the first three volumes. Although it is aimed at first-year graduate students, it is also intended to serve as a basic reference for people working in affine differential geometry. It also should be accessible to undergraduates interested in affine differential geometry. We are primarily concerned with the study of affine surfaces {which} are locally homogeneous. We discuss affine gradient Ricci solitons, affine Killing vector fields, and geodesic completeness. Opozda has classified the affine surface geometries which are locally homogeneous; we follow her classification. Up to isomorphism, there are two simply connected Lie groups of dimension 2.