On the Continuity of the Eigenvalues of a Sublaplacian
Canadian mathematical bulletin, Tome 57 (2014) no. 1, pp. 12-24
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We study the behavior of the eigenvalues of a sublaplacian ${{\Delta }_{b}}$ on a compact strictly pseudoconvex $\text{CR}$ manifold $M$ , as functions on the set ${{\mathcal{P}}_{+}}$ of positively oriented contact forms on $M$ by endowing ${{\mathcal{P}}_{+}}$ with a natural metric topology.
Mots-clés :
32V20, 53C56, CR manifold, contact form, sublaplacian, Fefferman metric
Aribi, Amine; Dragomir, Sorin; Soufi, Ahmad El. On the Continuity of the Eigenvalues of a Sublaplacian. Canadian mathematical bulletin, Tome 57 (2014) no. 1, pp. 12-24. doi: 10.4153/CMB-2012-026-9
@article{10_4153_CMB_2012_026_9,
author = {Aribi, Amine and Dragomir, Sorin and Soufi, Ahmad El},
title = {On the {Continuity} of the {Eigenvalues} of a {Sublaplacian}},
journal = {Canadian mathematical bulletin},
pages = {12--24},
year = {2014},
volume = {57},
number = {1},
doi = {10.4153/CMB-2012-026-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2012-026-9/}
}
TY - JOUR AU - Aribi, Amine AU - Dragomir, Sorin AU - Soufi, Ahmad El TI - On the Continuity of the Eigenvalues of a Sublaplacian JO - Canadian mathematical bulletin PY - 2014 SP - 12 EP - 24 VL - 57 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2012-026-9/ DO - 10.4153/CMB-2012-026-9 ID - 10_4153_CMB_2012_026_9 ER -
%0 Journal Article %A Aribi, Amine %A Dragomir, Sorin %A Soufi, Ahmad El %T On the Continuity of the Eigenvalues of a Sublaplacian %J Canadian mathematical bulletin %D 2014 %P 12-24 %V 57 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2012-026-9/ %R 10.4153/CMB-2012-026-9 %F 10_4153_CMB_2012_026_9
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