Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Spiro Karigiannis"'
This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric ana
Autor:
Max Chemtov, Spiro Karigiannis
Publikováno v:
Expositiones Mathematicae. 40:845-869
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::27bdfaa4d1d89a36f626c5efe9e3e41b
https://doi.org/10.1016/j.exmath.2022.10.004
https://doi.org/10.1016/j.exmath.2022.10.004
Autor:
Jason D. Lotay, Spiro Karigiannis
Publikováno v:
Communications in Analysis and Geometry. 28:1057-1210
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0d77dd83ad5db049df059a3b3f7ffa82
https://doi.org/10.4310/cag.2020.v28.n5.a1
https://doi.org/10.4310/cag.2020.v28.n5.a1
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
https://doi.org/10.4310/ajm.2019.v23.n4.a2
Autor:
Spiro Karigiannis, Thomas A. Ivey
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications.
A twisted-austere $k$-fold $(M, \mu)$ in $\mathbb R^n$ consists of a $k$-dimensional submanifold $M$ of $\mathbb R^n$ together with a closed $1$-form $\mu$ on $M$ such that the 'twisted conormal bundle' $N^* M + d \mu$ is a special Lagrangian submani
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::03e9821bcb07eee78564cdd0fb577a03
https://doi.org/10.3842/sigma.2021.023
https://doi.org/10.3842/sigma.2021.023
Autor:
Spiro Karigiannis
Publikováno v:
Lectures and Surveys on G2-Manifolds and Related Topics ISBN: 9781071605769
These notes give an informal and leisurely introduction to \(\mathrm {G}_2\) geometry for beginners. A special emphasis is placed on understanding the special linear algebraic structure in 7 dimensions that is the pointwise model for \(\mathrm {G}_2\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2b065b03e8e8c47df9306ec07597786
https://doi.org/10.1007/978-1-0716-0577-6_1
https://doi.org/10.1007/978-1-0716-0577-6_1
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
https://doi.org/10.1007/s10455-018-9629-x
We study a class of weakly conformal $3$-harmonic maps, called associative Smith maps, from $3$-manifolds into $7$-manifolds that parametrize associative $3$-folds in Riemannian $7$-manifolds equipped with $\mathrm{G}_2$-structures. Associative Smith
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3810839b9bcc272986d9db64209bf7ba
http://arxiv.org/abs/1909.03512
http://arxiv.org/abs/1909.03512
We study a flow of $G_2$ structures which induce the same Riemannian metric which is the negative gradient flow of an energy functional. We prove Shi-type estimates for the torsion tensor along the flow. We show that at a finite-time singularity the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02512bac666596199dde587c8e67ef10
Autor:
Spiro Karigiannis, Jason D. Lotay
Publikováno v:
Journal of Geometry and Physics. 162:104074
Bryant–Salamon constructed three 1-parameter families of complete manifolds with holonomy G 2 which are asymptotically conical to a holonomy G 2 cone. For each of these families, including their asymptotic cone, we construct a fibration by asymptot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b10ed7bcb010c5a4e76505076a6a9c41
https://doi.org/10.1016/j.geomphys.2020.104074
https://doi.org/10.1016/j.geomphys.2020.104074