Some relations between Riemannian and affine geometry

DOI10.1007/BF01266619zbMath0781.53012MaRDI QIDQ685224

Barbara Opozda

Publication date: 30 September 1993

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

affine normalaffine locally symmetric surfacesequiaffine transversal vector fieldtheorem egregiumtheorem of Cartan- Norden

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Related Items (10)

Some affine version of the Bäcklund theorem ⋮ A class of projectively flat surfaces ⋮ \(\delta^{\sharp}(2,2)\)-ideal centroaffine hypersurfaces of dimension 4 ⋮ On some flat connection associated with locally symmetric surface ⋮ Affine analogues of the Sasaki-Shchepetilov connection ⋮ Locally symmetric connections on surfaces ⋮ An optimal inequality and extremal classes of affine spheres in centroaffine geometry ⋮ \(\delta\)-invariants and their applications to centroaffine geometry ⋮ Flat hyperbolic Centro-affine Tchebychev hypersurfaces of \(\mathbb{R}^4\) ⋮ Curvature inequalities and Simons' type formulas in statistical geometry

Cites Work

• Unnamed Item
• On the geometry of affine immersions
• Locally symmetric connections on surfaces
• On normal and conormal maps for affine hypersurfaces
• Locally Symmetric Affine Hypersurfaces

This page was built for publication: Some relations between Riemannian and affine geometry