Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Ioannis Chrysikos"'
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 201:2603-2662
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3cd432b3c2872eb4fd7ab2dd1d3d8482
https://doi.org/10.1007/s10231-022-01212-y
https://doi.org/10.1007/s10231-022-01212-y
Autor:
Ioannis Chrysikos
Publikováno v:
Communications in Mathematics, Vol 29, Iss 3, Pp 385-393 (2021)
We study the volume of compact Riemannian manifolds which are Einstein with respect to a metric connection with (parallel) skew-torsion. We provide a result for the sign of the first variation of the volume in terms of the corresponding scalar curvat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a11c2f2de2f098b4a33dab16910bfb79
https://doi.org/10.2478/cm-2020-0009
https://doi.org/10.2478/cm-2020-0009
Autor:
Ioannis Chrysikos, Stavros Anastassiou
Publikováno v:
Extracta Mathematicae. 36:99-145
For any flag manifold $M=G/K$ of a compact simple Lie group $G$ we describe non-collapsing ancient invariant solutions of the homogeneous unnormalized Ricci flow. Such solutions emerge from an invariant Einstein metric on $M$, and by [B\"oLS17] they
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3206d21273043a2022e1ee0091c1428f
https://doi.org/10.17398/2605-5686.36.1.99
https://doi.org/10.17398/2605-5686.36.1.99
Publikováno v:
Analysis and Mathematical Physics. 12
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e5f744a7a29e82167677d546d67df03
https://doi.org/10.1007/s13324-022-00701-w
https://doi.org/10.1007/s13324-022-00701-w
Publikováno v:
Differential Geometry and its Applications. 84:101932
We study homogeneous Lorentzian manifolds $M = G/L$ of a connected reductive Lie group $G$ modulo a connected reductive subgroup $L$, under the assumption that $M$ is (almost) $G$-effective and the isotropy representation is totally reducible. We sho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eaed40192f5b74c7bc9e427b5d06c63d
https://doi.org/10.1016/j.difgeo.2022.101932
https://doi.org/10.1016/j.difgeo.2022.101932
Publikováno v:
Journal of Geometry and Physics. 138:257-284
This paper is devoted to a systematic study and classification of invariant affine or metric connections on certain classes of naturally reductive spaces. For any non-symmetric, effective, strongly isotropy irreducible 2 homogeneous Riemannian manifo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::681a79289c3885b41190977d850b5b8b
https://doi.org/10.1016/j.geomphys.2018.10.012
https://doi.org/10.1016/j.geomphys.2018.10.012
Publikováno v:
Transformation Groups. 24:659-689
We study spin structures on compact simply-connected homogeneous pseudo-Riemannian manifolds (M = G=H; g) of a compact semisimple Lie group G. We classify flag manifolds F = G/H of a compact simple Lie group which are spin. This yields also the class
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a566cdfceb2b5991bc2238a96a3fe6a3
https://doi.org/10.1007/s00031-018-9498-1
https://doi.org/10.1007/s00031-018-9498-1
Autor:
Ioannis Chrysikos
Publikováno v:
Advances in Applied Clifford Algebras. 27:3097-3127
Consider a Riemannian spin manifold $$(M^{n}, g)$$ $$(n\ge 3)$$ endowed with a non-trivial 3-form $$T\in \Lambda ^{3}T^{*}M$$ , such that $$\nabla ^{c}T=0$$ , where $$\nabla ^{c}:=\nabla ^{g}+\frac{1}{2}T$$ is the metric connection with skew-torsion
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c321ab5c90170ea638d41d02ae87b9e5
https://doi.org/10.1007/s00006-017-0810-2
https://doi.org/10.1007/s00006-017-0810-2
Autor:
Ioannis Chrysikos, Yusuke Sakane
Publikováno v:
Journal of Geometry and Physics. 160:103996
We study homogeneous Einstein metrics on indecomposable non-Kahler C-spaces, i.e. even-dimensional torus bundles M = G ∕ H with rank G > rank H over flag manifolds F = G ∕ K of a compact simple Lie group G . Based on the theory of painted Dynkin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b82ca9e915f4ff9033206f37b9534f4b
https://doi.org/10.1016/j.geomphys.2020.103996
https://doi.org/10.1016/j.geomphys.2020.103996
Publikováno v:
International Journal of Mathematics. 31:2050060
We study compact, simply connected, homogeneous 8-manifolds admitting invariant Spin(7)-structures, classifying all canonical presentations G/H of such spaces, with G simply connected. For each presentation, we exhibit explicit examples of invariant
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46f1506567e21e5a6d6714ef87a9388c
https://doi.org/10.1142/s0129167x20500603
https://doi.org/10.1142/s0129167x20500603