SKT structures on nilmanifolds
Publication type: Journal Article
Publication date: 2022-08-16
scimago Q1
wos Q2
SJR: 1.156
CiteScore: 1.8
Impact factor: 1.0
ISSN: 00255874, 14328232, 14321823
General Mathematics
Abstract
The aim of this article is to study the existence of invariant SKT structures on nilmanifolds. More precisely, we give a negative answer to the question of whether there exist a k-step ( $$k>2$$ ) complex nilmanifold admitting an invariant SKT metric. We also provide a construction which serves as a tool to generate examples of invariant SKT structures on 2-step nilmanifolds in arbitrary dimensions.
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16
Total citations:
16
Citations from 2024:
13
(81.25%)
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MLA
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GOST
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Arroyo R. M., Nicolini M. SKT structures on nilmanifolds // Mathematische Zeitschrift. 2022. Vol. 302. No. 2. pp. 1307-1320.
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Arroyo R. M., Nicolini M. SKT structures on nilmanifolds // Mathematische Zeitschrift. 2022. Vol. 302. No. 2. pp. 1307-1320.
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RIS
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TY - JOUR
DO - 10.1007/s00209-022-03107-3
UR - https://doi.org/10.1007/s00209-022-03107-3
TI - SKT structures on nilmanifolds
T2 - Mathematische Zeitschrift
AU - Arroyo, Romina M
AU - Nicolini, Marina
PY - 2022
DA - 2022/08/16
PB - Springer Nature
SP - 1307-1320
IS - 2
VL - 302
SN - 0025-5874
SN - 1432-8232
SN - 1432-1823
ER -
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BibTex (up to 50 authors)
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@article{2022_Arroyo,
author = {Romina M Arroyo and Marina Nicolini},
title = {SKT structures on nilmanifolds},
journal = {Mathematische Zeitschrift},
year = {2022},
volume = {302},
publisher = {Springer Nature},
month = {aug},
url = {https://doi.org/10.1007/s00209-022-03107-3},
number = {2},
pages = {1307--1320},
doi = {10.1007/s00209-022-03107-3}
}
Cite this
MLA
Copy
Arroyo, Romina M., and Marina Nicolini. “SKT structures on nilmanifolds.” Mathematische Zeitschrift, vol. 302, no. 2, Aug. 2022, pp. 1307-1320. https://doi.org/10.1007/s00209-022-03107-3.