A. Laaroussi

activity

20192024

most citedTrivializable and quaternionic subriemannian structure on

S^{7}

and subelliptic heat kernel

1 citations · 1 across the 4 of their papers we have counts for

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math.DG2024

Complete integrability of subriemannian geodesic flows on $S^{7}$

Wolfram Bauer, Abdellah Laaroussi, Daisuke Tarama

Four subriemannian (SR) structures over the Euclidean sphere $S^{7}$ are considered in accordance to the previous literature. The defining bracket generating distribution is…

math.DG2022

Local Invariants and Geometry of the sub-Laplacian on H-type Foliations

Wolfram Bauer, Irina Markina, Abdellah Laaroussi +1

$H$ -type foliations $(M, H, g_{H})$ are studied in the framework of sub-Riemannian geometry with bracket generating distribution defined as the bundle tr…

math.DG2021

Heat kernel asymptotics for quaternionic contact manifolds

Abdellah Laaroussi

In this paper, we study the heat kernel associated to the intrinsic sublaplacian on a quaternionic contact manifold considered as a subriemannian manifold. More precisely, we expli…

math.DG2021★ 1 cited

Trivializable and quaternionic subriemannian structure on $S^{7}$ and subelliptic heat kernel

Wolfram Bauer, Abdellah Laaroussi

On the seven dimensional Euclidean sphere $S^{7}$ we compare two subriemannian structures with regards to various geometric and analytical properties. The first structure is…

Complete integrability of subriemannian geodesic flows on S7

Local Invariants and Geometry of the sub-Laplacian on H-type Foliations

Heat kernel asymptotics for quaternionic contact manifolds

Trivializable and quaternionic subriemannian structure on S7 and subelliptic heat kernel

Complete integrability of subriemannian geodesic flows on $S^{7}$

Trivializable and quaternionic subriemannian structure on $S^{7}$ and subelliptic heat kernel