# An extension of Bonnet-Myers theorem

**Authors:** Jianming Wan

arXiv: 1705.04797 · 2019-02-15

## TL;DR

This paper presents a new generalization of the Bonnet-Myers theorem, expanding upon previous extensions by Calabi and Cheeger-Gromov-Taylor, to deepen understanding of geometric conditions for manifold compactness.

## Contribution

It introduces a novel extension of the Bonnet-Myers theorem, broadening the class of manifolds for which compactness can be concluded based on curvature conditions.

## Key findings

- New generalized conditions for manifold compactness
- Extension of classical theorems to broader geometric settings
- Potential applications in geometric analysis and topology

## Abstract

We give a complementary generalization of the extensions of Bonnet-Myers theorem obtained by Calabi and also Cheeger-Gromov-Taylor.

## Full text

_Full body text omitted from this summary view._ Fetch the complete paper as Markdown: https://tomesphere.com/paper/1705.04797/full.md

## References

4 references — full list in the complete paper: https://tomesphere.com/paper/1705.04797/full.md

---
Source: https://tomesphere.com/paper/1705.04797