Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 2390-2407 |
Seitenumfang | 18 |
Fachzeitschrift | Applicable analysis |
Jahrgang | 96 |
Ausgabenummer | 14 |
Publikationsstatus | Veröffentlicht - 2 Juni 2017 |
Abstract
In this note, we explain a relation between the Popp measures of sub-Riemannian structures on the total space of a principal bundle and the base manifold. Then we determine several concrete cases explicitly.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Analysis
- Mathematik (insg.)
- Angewandte Mathematik
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in: Applicable analysis, Jahrgang 96, Nr. 14, 02.06.2017, S. 2390-2407.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Sub-Riemannian structures in a principal bundle and their Popp measures
AU - Bauer, Wolfram
AU - Furutani, Kenro
AU - Iwasaki, Chisato
N1 - Funding Information: The first author acknowledges support through the DFG project BA 3793/6-1 in the framework of the SPP Geometry at Infinity. The second author was partially supported by the JSPS Grant-in-Aid for Scientific Research(C) [grant number 26400124]. Also the second and the third authors were partially supported by the National Center for Theoretical Science, National Taiwan University Taipei and the China Medical University, Taichung, Taiwan Publisher Copyright: © 2017 Informa UK Limited, trading as Taylor & Francis Group. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2017/6/2
Y1 - 2017/6/2
N2 - In this note, we explain a relation between the Popp measures of sub-Riemannian structures on the total space of a principal bundle and the base manifold. Then we determine several concrete cases explicitly.
AB - In this note, we explain a relation between the Popp measures of sub-Riemannian structures on the total space of a principal bundle and the base manifold. Then we determine several concrete cases explicitly.
KW - divergence
KW - Popp measure
KW - Principal bundle
KW - sub-Laplacian
KW - sub-Riemannian structure
UR - http://www.scopus.com/inward/record.url?scp=85020168501&partnerID=8YFLogxK
U2 - 10.1080/00036811.2017.1333602
DO - 10.1080/00036811.2017.1333602
M3 - Article
AN - SCOPUS:85020168501
VL - 96
SP - 2390
EP - 2407
JO - Applicable analysis
JF - Applicable analysis
SN - 0003-6811
IS - 14
ER -