OpenAlex | Examples of Riemannian manifolds with positive curvature almost everywhere

Examples of Riemannian manifolds with positive curvature almost everywhere

Work

Year: 1999

Type: article

Abstract: We show that the unit tangent bundle of S 4 and a real cohomology CP 3 admit Riemannian metrics with positive sectional curvature almost everywhere.These are the only examples so far with positive cur... more

Source: Geometry & Topology

Authors Peter Petersen, Frederick Wilhelm

Institutions University of California, Los Angeles, University of California, Riverside

Cites: 23

Cited by: 37

Related to: 10

FWCI: 1.467

Citation percentile (by year/subfield): 81.72

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Sustainable Development Goal Reduced inequalities

Open Access status: bronze