Vertical–horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles
Publication type: Journal Article
Publication date: 2019-09-19
scimago Q1
wos Q2
SJR: 0.951
CiteScore: 2.1
Impact factor: 0.9
ISSN: 03733114, 16181891
Applied Mathematics
Abstract
In this paper, we obtain a vertical–horizontal decomposition formula of Laplacians on manifolds with a special foliation structure. Two Nomizu-type theorems for cohomologies of nilmanifolds follow as applications.
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Rollenske S., Tomassini A., Wang X. Vertical–horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles // Annali di Matematica Pura ed Applicata. 2019. Vol. 199. No. 3. pp. 833-862.
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Rollenske S., Tomassini A., Wang X. Vertical–horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles // Annali di Matematica Pura ed Applicata. 2019. Vol. 199. No. 3. pp. 833-862.
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RIS
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TY - JOUR
DO - 10.1007/s10231-019-00903-3
UR - https://doi.org/10.1007/s10231-019-00903-3
TI - Vertical–horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles
T2 - Annali di Matematica Pura ed Applicata
AU - Rollenske, Sönke
AU - Tomassini, Adriano
AU - Wang, Xu
PY - 2019
DA - 2019/09/19
PB - Springer Nature
SP - 833-862
IS - 3
VL - 199
SN - 0373-3114
SN - 1618-1891
ER -
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BibTex (up to 50 authors)
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@article{2019_Rollenske,
author = {Sönke Rollenske and Adriano Tomassini and Xu Wang},
title = {Vertical–horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles},
journal = {Annali di Matematica Pura ed Applicata},
year = {2019},
volume = {199},
publisher = {Springer Nature},
month = {sep},
url = {https://doi.org/10.1007/s10231-019-00903-3},
number = {3},
pages = {833--862},
doi = {10.1007/s10231-019-00903-3}
}
Cite this
MLA
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Rollenske, Sönke, et al. “Vertical–horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles.” Annali di Matematica Pura ed Applicata, vol. 199, no. 3, Sep. 2019, pp. 833-862. https://doi.org/10.1007/s10231-019-00903-3.