Browsing Fakultät für Mathematik und Physik by Author "832a1eb4-2dbd-46a4-9a62-753e508d4c23"

Browsing Fakultät für Mathematik und Physik by Author "832a1eb4-2dbd-46a4-9a62-753e508d4c23"

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  • Spectral analysis of classes of subriemannian manifolds 
    Laaroussi, Abdellah (Hannover : Institutionelles Repositorium der Leibniz Universität Hannover, 2021)
    In this thesis we study classes of subriemannian manifolds and their sublaplacians. We determine the spectrum of the intrinsic sublaplacian on pseudo H-type nilmanifolds. Moreover, we construct an arbitrary number of ...
  • Spectral theory of a class of nilmanifolds attached to Clifford modules 
    Bauer, Wolfram; Furutani, Kenro; Iwasaki, Chisato; Laaroussi, Abdellah (Berlin ; Heidelberg : Springer, 2021)
    We determine the spectrum of the sub-Laplacian on pseudo H-type nilmanifolds and present pairs of isospectral but non-homeomorphic nilmanifolds with respect to the sub-Laplacian. We observe that these pairs are also ...
  • Trivializable and Quaternionic Subriemannian Structures on S7 and Subelliptic Heat Kernel 
    Bauer, Wolfram; Laaroussi, Abdellah (New York, NY : Springer, 2022)
    On the seven dimensional Euclidean sphere S7 we compare two subriemannian structures with regards to various geometric and analytical properties. The first structure is called trivializable and the underlying distribution ...

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