On Singular Distributions With Statistical Structure

Paul Popescu, Vladimir Rovenski and Sergey Stepanov
Additional contact information
Paul Popescu: Department of Applied Mathematics, University of Craiova, Str. Al. Cuza, No, 13, 200585 Craiova, Romania
Vladimir Rovenski: Department of Mathematics, University of Haifa, Mount Carmel, Haifa 31905, Israel
Sergey Stepanov: Department of Mathematics, Finance University, 49-55, Leningradsky Prospect, 125468 Moscow, Russia

Mathematics, 2020, vol. 8, issue 10, 1-20

Abstract: In this paper, we extend our previous study regarding a Riemannian manifold endowed with a singular (or regular) distribution, generalizing Bochner’s technique and a statistical structure. Following the construction of an almost Lie algebroid, we define the central concept of the paper: The Weitzenböck type curvature operator on tensors, prove the Bochner–Weitzenböck type formula and obtain some vanishing results about the null space of the Hodge type Laplacian on a distribution.

Keywords: Riemannian manifold; almost Lie algebroid; singular distribution; statistical structure; Weitzenböck curvature operator; harmonic differential form (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/10/1825/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/10/1825/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:8:y:2020:i:10:p:1825-:d:430593

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().