arXiv Open Access 2019

The Ricci curvature on simplicial complexes

Taiki Yamada

Lihat Sumber

Abstrak

We define the Ricci curvature on simplicial complexes by modifying the definition of the Ricci curvature on graphs, and we prove the upper and lower bounds of the Ricci curvature. These properties are generalizations of previous studies. Moreover, we obtain an estimate of the eigenvalues of the Laplacian on simplicial complexes using the Ricci curvature.

Topik & Kata Kunci

math.SP math.DG

Penulis (1)

Taiki Yamada

Format Sitasi

APA MLA BibTeX

Yamada, T. (2019). The Ricci curvature on simplicial complexes. https://arxiv.org/abs/1906.07404

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓