Positive isotropic curvature and self-duality in dimension 4 - Université Gustave Eiffel
Article Dans Une Revue Manuscripta mathematica Année : 2015

Positive isotropic curvature and self-duality in dimension 4

Résumé

We study a positivity condition for the curvature of oriented Riemannian 4-manifolds: The half-P IC condition. It is a slight weakening of the positive isotropic curvature (P IC) condition introduced by M. Micallef and J. Moore. We observe that the half-P IC condition is preserved by the Ricci flow and satisfies a maximality property among all Ricci flow invariant positivity conditions on the curvature of oriented 4-manifolds. We also study some geometric and topological aspects of half-P IC manifolds.
Fichier principal
Vignette du fichier
1311.5256v2.pdf (150.2 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01611591 , version 1 (11-10-2024)

Identifiants

Citer

Thomas Richard, Harish Seshadri. Positive isotropic curvature and self-duality in dimension 4. Manuscripta mathematica, 2015, 149 (3-4), pp.443 - 457. ⟨10.1007/s00229-015-0790-2⟩. ⟨hal-01611591⟩
33 Consultations
0 Téléchargements

Altmetric

Partager

More