We gratefully acknowledge support from
the Simons Foundation and member institutions.
Full-text links:

Download:

Current browse context:

math.DG
< prev | next >
new | recent | 2005

Change to browse by:

math

References & Citations

Bookmark

(what is this?)
CiteULike logo BibSonomy logo Mendeley logo del.icio.us logo Digg logo Reddit logo

Mathematics > Differential Geometry

Title: The Bochner Technique and Weighted Curvatures

Authors: Peter Petersen, Matthias Wink
(Submitted on 6 May 2020 (v1), last revised 9 Jul 2020 (this version, v3))
Abstract: In this note we study the Bochner formula on smooth metric measure spaces. We introduce weighted curvature conditions that imply vanishing of all Betti numbers.
Subjects: Differential Geometry (math.DG)
MSC classes: 53B20, 53C20, 53C21, 53C23, 58A14
Journal reference: SIGMA 16 (2020), 064, 10 pages
DOI: 10.3842/SIGMA.2020.064
Cite as: arXiv:2005.02604 [math.DG]
  (or arXiv:2005.02604v3 [math.DG] for this version)

Submission history

From: Matthias Wink [view email]
[v1] Wed, 6 May 2020 05:58:49 GMT (9kb)
[v2] Wed, 20 May 2020 20:26:52 GMT (9kb)
[v3] Thu, 9 Jul 2020 06:54:06 GMT (11kb,D)
Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

Link back to: arXiv, form interface, contact.