Work

The Hopf conjecture with $T^3$-symmetry

Year: 2026

Type: preprint

Abstract: We prove that any closed even-dimensional manifold with positive sectional curvature admitting an isometric action by a 3-torus has positive Euler characteristic. We also prove the result for orbifolds.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.22173

Authors: Nienhaus, Jan, Wulle, Dennis

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Alexander von Humboldt-Stiftung, Deutsche Forschungsgemeinschaft, Bundesministerium für Bildung und Forschung

Awards: G1652504919, EXC 2044: Mathematik Münster: Dynamik – Geometrie – Struktur

OpenAlex ID: W7222509384

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