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pro vyhledávání: '"Flamencourt, Brice"'
Autor:
Flamencourt, Brice, Moroianu, Andrei
We introduce the notion of decomposable locally conformally product (LCP) manifolds and characterize those which are defined on quotients of Riemannian Lie groups by co-compact lattices.
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
http://arxiv.org/abs/2406.11595
We consider compact conformal manifolds $(M,[g])$ endowed with a closed Weyl structure $\nabla$, i.e. a torsion-free connection preserving the conformal structure, which is locally but not globally the Levi-Civita connection of a metric in $[g]$. Our
Externí odkaz:
http://arxiv.org/abs/2305.06637
Autor:
Flamencourt, Brice
Publikováno v:
Differential Geometry and its applications 91 (2023) 102075
We prove that for a group $\mathrm{SO}_n(\mathrm{R}) \subset G \subset \mathrm{GL}_n (\mathrm{R})$, any $G$-structure on a smooth manifold can be endowed with a torsion free connection which is locally the Levi-Civita connection of a Riemannian metri
Externí odkaz:
http://arxiv.org/abs/2212.11025
Autor:
Flamencourt, Brice
Publikováno v:
International Journal of Mathematics 35 (5) (2024) 2450013
A locally conformally product (LCP) structure on compact manifold $M$ is a conformal structure $c$ together with a closed, non-exact and non-flat Weyl connection $D$ with reducible holonomy. Equivalently, an LCP structure on $M$ is defined by a reduc
Externí odkaz:
http://arxiv.org/abs/2205.02943
Autor:
Flamencourt, Brice, Moroianu, Sergiu
Publikováno v:
Journal of Geometric Analysis 32, 186 (2022)
Let $\mathcal{Z}$ be a spin $4$-manifold carrying a parallel spinor and $M\hookrightarrow \mathcal{Z}$ a hypersurface. The second fundamental form of the embedding induces a flat metric connection on $TM$. Such flat connections satisfy a non-elliptic
Externí odkaz:
http://arxiv.org/abs/2110.15386
Autor:
Flamencourt, Brice
We consider Dirac-like operators with piecewise constant mass terms on spin manifolds, and we study the behaviour of their spectra when the mass parameters become large. In several asymptotic regimes, effective operators appear: the extrinsic Dirac o
Externí odkaz:
http://arxiv.org/abs/2104.14489
Autor:
Flamencourt, Brice
Publikováno v:
In Differential Geometry and its Applications December 2023 91
Publikováno v:
J. Math. Anal. Appl. 491 (2020) 124287
Let $\Gamma\subset \mathbb{R}^2$ be a simple closed curve which is smooth except at the origin, at which it has a power cusp and coincides with the curve $|x_2|=x_1^p$ for some $p>1$. We study the eigenvalues of the Schr\"odinger operator $H_\alpha$
Externí odkaz:
http://arxiv.org/abs/1909.08449
Akademický článek
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Publikováno v:
In Journal of Mathematical Analysis and Applications 1 November 2020 491(1)