# Homotopy Invariants and Almost Non-Negative Curvature

## TL;DR

This paper investigates the relationship between the topology of fibre bundles related to almost non-negatively curved manifolds and rational homotopy theory, providing new insights into their structure.

## Contribution

It introduces a novel connection between fibre bundle structures of almost non-negatively curved manifolds and rational homotopy theory.

## Key findings

- Established links between homotopy invariants and curvature conditions
- Characterized fibre bundle structures in the context of almost non-negative curvature
- Provided new tools for analyzing the topology of curved manifolds

## Abstract

This paper explores the relation between the structure of fibre bundles akin to those associated to a closed almost nonnegatively sectionally curved manifold and rational homotopy theory.