Linking Integrals on Rank-1-Symmetric Spaces

2023/09/06 by Stefan Bechtluft‐Sachs, Bechtluft-Sachs, Stefan, Evangelia Samiou +1
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Differential Geometry Research #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2309.02921

openalex publication_date 2023/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In symmetric spaces of rank one we obtain a right inverse of the Cartan differential on exact differential forms as an integral operator. As a corollary we extend Gauss linking integral beyond space forms.

Related

• Gaussian integrals on symmetric spaces (the complex case and beyond)
• Linking Integral Projection
• Exposing Relative Endoscopy in Unitary Symmetric Spaces
• Symmetric Cartan calculus, the Patterson-Walker metric and Killing vector fields
• Affine connections on the algebra of differential forms