Work

Positive biorthogonal curvature on $S^2\times T^2$

Year: 2026

Type: preprint

Abstract: We construct explicit Riemannian metrics with positive biorthogonal curvature on $S^2\times T^2$, answering a question of Bettiol. In particular, positive biorthogonal curvature on a closed four-manifold does not force its fundamental group to be virtually free.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.08119

Authors: Chen, Zhiqi, Zhang, Hui

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, National Natural Science Foundation of China, Southeast University, Fundamental Research Funds for the Central Universities

Awards: G2804188644, G6978731451, G8143364485, G8523238066

OpenAlex ID: W7212082488

Cites: 11

Cited by: 1

Related to: 10