Publications and Preprints
Submitted articles and working papers
| Title | Geometric and spectral estimates based on spectral Ricci curvature assumptions |
| Authors | Gilles Carron, Christian Rose |
| Year | 2018 |
| arXiv | https://arxiv.org/pdf/1808.06965.pdf |
|
Title |
Manifolds with Ricci curvature in the Kato class: heat kernel bounds and applications |
| Authors | Christian Rose, Peter Stollmann |
| Year | 2018 |
| arXiv | https://arxiv.org/abs/1804.04094 |
|
Title |
Distance bounds for graphs with some negative Bakry-\'Emery curvature |
| Authors | Shiping Liu, Florentin Münch, Norbert Peyerimhoff, Christian Rose |
| Year | 2017 |
| arXiv | https://arxiv.org/abs/1705.08119 |
|
Title |
Li-Yau gradient estimate for compact manifolds with negative part of Ricci curvature in the Kato class |
| Authors | Christian Rose |
| Year | 2016 |
| arXiv | http://arxiv.org/abs/1608.04221 |
Reviewed articles
| Title | A quantitative Carleman estimate for elliptic second order partial differential operators |
| Authors | Ivica Nakić, Christian Rose, Martin Tautenhahn |
| Year | 2015 |
| Journal | Proceedings of the Royal Society of Edinburgh, to appear. |
| arXiv |
| Title | Heat kernel upper bound on Riemannian manifolds with locally uniform Ricci curvature integral bounds |
| Authors | Christian Rose |
| Year | 2016 |
| Journal | Journal of Geometric Analysis, DOI: 10.1007/s12220-016-9738-3 |
| arXiv | http://arxiv.org/abs/1601.07438 |
| Title | The Kato class on compact manifolds with integral bounds on the negative part of Ricci curvature |
| Authors | Christian Rose, Peter Stollmann |
| Year | 2016 |
| Journal | Proceedings of the American Mathematical Society, DOI: 10.1090/proc/13399 |
| arXiv | http://arxiv.org/abs/1601.07441 |
Disseration
Christian Rose: Heat kernel estimates based on Ricci curvature integral bounds. Technische Universität Chemnitz, 2017.
Online source: http://www.qucosa.de/recherche/frontdoor/?tx_slubopus4frontend[id]=22868
Diploma thesis
Christian Rose: Über die Wärmeleitungshalbgruppe auf Mannigfaltigkeiten. Technische Universität Chemnitz, 2014.
