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pro vyhledávání: '"Stecker, Leander"'
Autor:
Galdeano, Mateo, Stecker, Leander
We construct solutions to the heterotic G$_2$ system on almost contact metric manifolds with reduced characteristic holonomy. We focus on $3$-$(\alpha,\delta)$-Sasaki manifolds and $(\alpha,\delta)$-Sasaki manifolds, the latter being a convenient ref
Externí odkaz:
http://arxiv.org/abs/2403.00084
Autor:
Stecker, Leander
We explore submersions introduced by reducible holonomy representations of connections with parallel skew torsion. A submersion theorem extending previous less general results is given. As our main application we show that parallel 3-$(\alpha,\delta)
Externí odkaz:
http://arxiv.org/abs/2211.14012
We investigate curvature properties of 3-$(\alpha,\delta)$-Sasaki manifolds, a special class of almost 3-contact metric manifolds generalizing 3-Sasaki manifolds (corresponding to $\alpha = \delta = 1$) that admit a canonical metric connection with s
Externí odkaz:
http://arxiv.org/abs/2206.05150
Publikováno v:
Complex Manifolds, vol. 9, no. 1, 2022, pp. 337-344
We propose a new method to construct degenerate $3$-$(\alpha,\delta)$-Sasakian manifolds as fiber products of Boothby-Wang bundles over hyperk\"ahler manifolds. Subsequently, we study homogeneous degenerate $3$-$(\alpha, \delta)$-Sasakian manifolds a
Externí odkaz:
http://arxiv.org/abs/2206.04002
We provide a new, self-contained proof of the classification of homogeneous 3-Sasakian manifolds, which was originally obtained by Boyer, Galicki and Mann. In doing so, we construct an explicit one-to-one correspondence between simply connected homog
Externí odkaz:
http://arxiv.org/abs/2110.03603
Publikováno v:
Ann. Glob. Anal. Geom. 60, 111-141 (2021)
We show that every $3$-$(\alpha,\delta)$-Sasaki manifold of dimension $4n + 3$ admits a locally defined Riemannian submersion over a quaternionic K\"ahler manifold of scalar curvature $16n(n+2)\alpha\delta$. In the non-degenerate case ($\delta\neq 0$
Externí odkaz:
http://arxiv.org/abs/2011.13434
Akademický článek
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Publikováno v:
Annali di Matematica Pura ed Applicata; Oct2023, Vol. 202 Issue 5, p2007-2033, 27p
Publikováno v:
European Journal of Mathematics; Mar2023, Vol. 9 Issue 1, p1-28, 28p
Autor:
Stecker, Leander
Wir untersuchen 3-(��,��)-Sasaki Mannigfaltigkeiten anhand ihrer kanonischen Zusammenh��nge. Diese sind eine Klasse von metrischen fast 3-Kontaktmannigfaltigkeiten, welche d��_i = 2����_i + 2(�� ��� ��)��_j
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1a02c0936de4f4bea9372380079ae540