Výsledky vyhledávání - "Ki Fung Chan"

Cohomologies on almost complex manifolds and the $\partial \overline{\partial}$-lemma

Autor: Spiro Karigiannis, Ki Fung Chan, Chi Cheuk Tsang

Publikováno v: Asian Journal of Mathematics. 23:561-584

We study cohomologies on an almost complex manifold $(M, J)$, defined using the Nijenhuis-Lie derivations $\mathcal{L}_J$ and $\mathcal{L}_N$ induced from the almost complex structure $J$ and its Nijenhuis tensor $N$, regarded as vector-valued forms

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cac10e0cc7d86f9674901a7bdd8473be
https://doi.org/10.4310/ajm.2019.v23.n4.a2

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Calibrated Submanifolds in $$G_{2}$$ Geometry

Autor: Naichung Conan Leung, Ki Fung Chan

Publikováno v: Lectures and Surveys on G2-Manifolds and Related Topics ISBN: 9781071605769

This article summarizes the lecture given by the second author at the Minischool on “$\mathrm {G}_2$ manifolds and related topics” which was held at the Fields Institute in August 2017, and is based on notes made by the first author.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::92e5338093be67cc9525b9347a460cdb
https://doi.org/10.1007/978-1-0716-0577-6_4

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The $${\mathcal {L}}_B$$ L B -cohomology on compact torsion-free $$\mathrm {G}_2$$ G 2 manifolds and an application to ‘almost’ formality

Autor: Spiro Karigiannis, Chi Cheuk Tsang, Ki Fung Chan

Publikováno v: Annals of Global Analysis and Geometry. 55:325-369

We study a cohomology theory $$H^{\bullet }_{\varphi }$$ , which we call the $${\mathcal {L}}_B$$ -cohomology, on compact torsion-free $$\mathrm {G}_2$$ manifolds. We show that $$H^k_{\varphi } \cong H^k_{\mathrm {dR}}$$ for $$k \ne 3, 4$$ , but that

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::544760d65f8620181c3d25682cc02303
https://doi.org/10.1007/s10455-018-9629-x

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