Riemannian geometry in infinite dimensional spaces

2017/02/16 by László Lempert, Lempert, László
Mathematics · Physics and Astronomy · #58B20 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1702.04896

openalex publication_date 2017/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We lay foundations of the subject in the title, on which we build in another paper devoted to isometries in spaces of Kähler metrics.

Related

• Isometries in spaces of Kähler potentials
• Riemannian manifolds with geometric structures
• Kahler-Einstein metrics and algebraic geometry
• Recent progress in Kähler geometry
• Elementary aspects of the geometry of metric spaces