Blowing-up points on locally conformally balanced manifolds

Zhao Lian; Song Yang

doi:10.1016/j.crma.2014.07.005

Geometry/Differential geometry

Blowing-up points on locally conformally balanced manifolds
[Éclatement de points dans les variétés localement conformément équilibrées]

Présenté par : Claire Voisin

Zhao Lian ¹ ; Song Yang ¹

¹ Department of Mathematics, Sichuan University, Chengdu, 610064 Sichuan, People's Republic of China

Comptes Rendus. Mathématique, Volume 352 (2014) no. 9, pp. 715-718.

Abstract (VO)
Résumé

In this note, we show that the blowing-up of a point on a locally conformally balanced manifold also admits a locally conformally Balanced manifold structure.

Dans cette note, nous montrons que l'éclatement d'un point dans une variété localement conformément équilibrée admet aussi une structure de variété localement conformément équilibrée.

Reçu le : 2014-03-24
Accepté le : 2014-07-11
Publié le : 2014-08-01

DOI : 10.1016/j.crma.2014.07.005

Affiliations des auteurs :

Zhao Lian ¹ ; Song Yang ¹

¹ Department of Mathematics, Sichuan University, Chengdu, 610064 Sichuan, People's Republic of China

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     author = {Zhao Lian and Song Yang},
     title = {Blowing-up points on locally conformally balanced manifolds},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {715--718},
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     year = {2014},
     doi = {10.1016/j.crma.2014.07.005},
     language = {en},
}

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Zhao Lian; Song Yang. Blowing-up points on locally conformally balanced manifolds. Comptes Rendus. Mathématique, Volume 352 (2014) no. 9, pp. 715-718. doi : 10.1016/j.crma.2014.07.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.07.005/

Bibliographie
Cité par

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[4] F. Tricerri Some examples of locally conformal Kähler manifolds, Rend. Semin. Mat. (Torino), Volume 40 (1982), pp. 81-92

[5] C. Voisin Hodge Theory and Complex Algebraic Geometry I, Cambridge Studies in Advanced Mathematics, vol. 76, Cambridge University Press, 2003

[6] V. Vuletescu Blowing-up points on locally conformally Kähler manifolds, Bull. Math. Soc. Sci. Math. Roum., Volume 52 (2009), pp. 387-390

Fabio Paradiso Locally conformally balanced metrics on almost abelian Lie algebras, Complex Manifolds, Volume 8 (2021), pp. 196-207 | DOI:10.1515/coma-2020-0111 | Zbl:1472.53038
Youming Chen; Song Yang On the blow-up of points on locally conformally symplectic manifolds, Comptes Rendus. Mathématique. Académie des Sciences, Paris, Volume 354 (2016) no. 4, pp. 411-414 | DOI:10.1016/j.crma.2016.01.002 | Zbl:1391.53089
Song Yang Blow-ups of locally conformally balanced manifolds, Geometriae Dedicata, Volume 174 (2015), pp. 187-192 | DOI:10.1007/s10711-014-0012-1 | Zbl:1325.53032

Cité par 3 documents. Sources : zbMATH

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