Work

Curvature tensor of smoothable Alexandrov spaces

Year: 2024

Type: article

Abstract: We prove weak convergence of curvature tensors of Riemannian manifolds for converging noncollapsing sequences with a lower bound on sectional curvature.

Source: Geometry & Topology

DOI: 10.2140/gt.2024.28.3869

Authors: Nina Lebedeva, Anton Petrunin

Institutions: Russian Academy of Sciences, St Petersburg University, St. Petersburg Department of Steklov Institute of Mathematics, Steklov Mathematical Institute, Pennsylvania State University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Science Foundation, Russian Foundation for Basic Research, Ministry of Education and Science of the Russian Federation

Awards: G1524342187, G573246759, Alexandrov Geometry and Its Relatives, G8105343478

OpenAlex ID: W4405757478

FWCI: 4.582

Cites: 14

Cited by: 7

Related to: 10