# Positivity of Simplicial Volume for Nonpositively Curved Manifolds with a Ricci-type curvature condition

## TL;DR

This paper proves that certain nonpositively curved manifolds with specific Ricci curvature conditions have positive simplicial volume, confirming a special case of Gromov's conjecture.

## Contribution

It establishes a new link between Ricci curvature conditions and simplicial volume in nonpositively curved manifolds, addressing a specific case of Gromov's conjecture.

## Key findings

- Closed manifolds with negative Ricci-type curvature have positive simplicial volume
- Supports a special case of Gromov's conjecture
- Links curvature conditions to topological invariants

## Abstract

We show that closed manifolds supporting a nonpositively curved metric with negative $([\frac{n}{4}]+1)$-Ricci curvature, have positive simplicial volume. This answers a special case of a conjecture of Gromov.