Holonomy theory and 4-dimensional Lorentz manifolds.
Hall, G.S. (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Hall, G.S. (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Labbi, Mohammed Larbi (2010)
Balkan Journal of Geometry and its Applications (BJGA)
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Raffe Mazzeo (1999)
Journées équations aux dérivées partielles
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In this note we discuss some recent and ongoing joint work with Thalia Jeffres concerning the existence of Kähler-Einstein metrics on compact Kähler manifolds which have a prescribed incomplete singularity along a smooth divisor . We shall begin with a general discussion of the problem, and give a rough outline of the “classical” proof of existence in the smooth case, due to Yau and Aubin, where no singularities are prescribed. Following this is a discussion of the geometry of the conical...
Charles Boubel (2007)
Annales de la faculté des sciences de Toulouse Mathématiques
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Indecomposable Lorentzian holonomy algebras, except and , are not semi-simple; they possibly belong to four families of algebras. All four families are realized as families of holonomy algebras: we describe the corresponding set of germs of metrics in each case.
Dennis M. Deturck, Norihito Koiso (1984)
Annales de l'I.H.P. Analyse non linéaire
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Akbar Tayebi, Behzad Najafi (2012)
Annales Polonici Mathematici
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We prove that every isotropic Berwald metric of scalar flag curvature is a Randers metric. We study the relation between an isotropic Berwald metric and a Randers metric which are pointwise projectively related. We show that on constant isotropic Berwald manifolds the notions of R-quadratic and stretch metrics are equivalent. Then we prove that every complete generalized Landsberg manifold with isotropic Berwald curvature reduces to a Berwald manifold. Finally, we study C-conformal changes...
Vestislav Apostolov, Paul Gauduchon (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We provide a local classification of selfdual Einstein riemannian four-manifolds admitting a positively oriented hermitian structure and characterize those which carry a hyperhermitian, non-hyperkähler structure compatible with the negative orientation. We show that selfdual Einstein 4-manifolds obtained as quaternionic quotients of and are hermitian.
Andrea Sambusetti (1998-1999)
Séminaire de théorie spectrale et géométrie
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