Details
| Original language | English |
|---|---|
| Pages (from-to) | 289–316 |
| Number of pages | 28 |
| Journal | Potential analysis |
| Volume | 61 |
| Issue number | 2 |
| Early online date | 28 Oct 2023 |
| Publication status | Published - Aug 2024 |
Abstract
We present an explicit form of the subelliptic heat kernel of the intrinsic sublaplacian Δsub5 induced by a rank 5 trivializable subriemannian structure on the Euclidean seven dimensional sphere S7 . This completes the heat kernel analysis of trivializable subriemannian structures on S7 induced by a Clifford module action on R8 . As an application we derive the spectrum of Δsub5 and the Green function of the conformal sublaplacian in an explicit form.
Keywords
- Green kernel, Heat kernel, Sublaplacian, Subriemannian geometry
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
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In: Potential analysis, Vol. 61, No. 2, 08.2024, p. 289–316.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Rank 5 Trivializable Subriemannian Structure on S7 and Subelliptic Heat Kernel
AU - Bauer, Wolfram
AU - Laaroussi, Abdellah
AU - Tarama, Daisuke
N1 - Publisher Copyright: © 2023, The Author(s).
PY - 2024/8
Y1 - 2024/8
N2 - We present an explicit form of the subelliptic heat kernel of the intrinsic sublaplacian Δsub5 induced by a rank 5 trivializable subriemannian structure on the Euclidean seven dimensional sphere S7 . This completes the heat kernel analysis of trivializable subriemannian structures on S7 induced by a Clifford module action on R8 . As an application we derive the spectrum of Δsub5 and the Green function of the conformal sublaplacian in an explicit form.
AB - We present an explicit form of the subelliptic heat kernel of the intrinsic sublaplacian Δsub5 induced by a rank 5 trivializable subriemannian structure on the Euclidean seven dimensional sphere S7 . This completes the heat kernel analysis of trivializable subriemannian structures on S7 induced by a Clifford module action on R8 . As an application we derive the spectrum of Δsub5 and the Green function of the conformal sublaplacian in an explicit form.
KW - Green kernel
KW - Heat kernel
KW - Sublaplacian
KW - Subriemannian geometry
UR - http://www.scopus.com/inward/record.url?scp=85175079025&partnerID=8YFLogxK
U2 - 10.1007/s11118-023-10110-8
DO - 10.1007/s11118-023-10110-8
M3 - Article
AN - SCOPUS:85175079025
VL - 61
SP - 289
EP - 316
JO - Potential analysis
JF - Potential analysis
SN - 0926-2601
IS - 2
ER -