Completeness in affine and statistical geometry

DOI10.1007/s10455-021-09752-xzbMath1467.53016arXiv2003.11984OpenAlexW3126508317MaRDI QIDQ2663180

Barbara Opozda

Publication date: 16 April 2021

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.11984

zbMATH Keywords

completenessgeodesicaffine connectionaffine hypersurfacestatistical structure

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Linear and affine connections (53B05) Affine differential geometry (53A15) Differential geometric aspects of statistical manifolds and information geometry (53B12)

Related Items (3)

Statistical structures arising in null submanifolds ⋮ Laplacian operator on statistical manifold ⋮ Conformal submersion with horizontal distribution and geodesics

Cites Work

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• Locally strongly convex affine hypersurfaces with parallel cubic form
• Conjugate connections and Radon's theorem in affine differential geometry
• Bochner's technique for statistical structures
• On completeness in affine differential geometry
• Geometry of statistical manifolds
• Zur affinen Differentialgeometrie im Großen. I
• Complete affine hypersurfaces. Part I. The completeness of affine metrics
• Global affine differential geometry of hypersurfaces
• Affine complete locally convex hypersurfaces

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