Non-Kähler Calabi-Yau manifolds

By Valentino Tosatti. 2014

90 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0d44624a786b798d1669f2aa6a99ba9a6da152af

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In Applied Mathematics

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Citations in the corpus

KAWA lecture notes on the Kähler-Ricci flow (2015, background): “ption that KX be semiample, it remains true that (b) ⇔ (c) ⇒ (a), while the implication (a) ⇒ (b) is false. In this case, the only hard implication is (b) ⇒ (c), and we refer the interested reader to [77], for example. Proof. The implication (c) ⇒ (b) is trivial. First we show that (a) ⇒ (c). Theass”
Strominger connection and pluriclosed metrics (2019, methodology): “We refer the readers to the papers [8], [13], [14], [16], [26], [39] for study involving Hull-Strominger system, which uses Bismut-Strominger connection in an essential way, and to the papers [33], [34], [35] where the study of Hermitian curvature flow involving the connection were initiated which h”
Scalar curvature on compact complex manifolds (2017, background): “1 relies on a border line case of Lamari’s positivity criterion ([14]) over compact complex manifolds and Tosatti’s characterizations for non-Kähler Calabi-Yau manifolds ([21]).”
Ricci Curvatures on Hermitian manifolds (2014, background): “he ﬁrst Chern-Ricci curvature Θ(1) and also the related Monge-Amp`ere type equations (e.g.[18, 25, 51, 52, 53, 54, 55]). For more details on this subject, we refer the reader to the nice survey paper [50]. Next, we make the following observation: Corollary 1.5. Let Mbe a complex manifold. If c1(M) =”
On Bismut flat manifolds (2016, unknown): “We refer the readers to [37], [9], [10], [11], [12], [13], [24], [41], [19], [16], [17], [18], [33], [34], [35], [36], [25], [26], [27], [39], [40], [38] and the references therein for some recent progress in this area.”
On Curvature Tensors of Hermitian Manifolds (2016, background): “hler Calabi-Yau manifolds from string theory. See for instance the work of Fu-Yau [5], Fu-Li-Yau [6], Fu [4], Fu-Wang-Wu [7], [8], Liu-Yang [16], [17], [18], Streets-Tian [20], Tosatti-Weinkove [24], [22], Guan-Sun [13], and the references therein. Given a complex manifold Mn, a Hermitian metric gis”