The metrics of a twodimensional space with geodesics represented by a linear equation
M. D. Leko (1975)
Matematički Vesnik
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M. D. Leko (1975)
Matematički Vesnik
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Eduardo García-Río, M. Elena Vázquez-Abal (1993)
Czechoslovak Mathematical Journal
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Julien Keller, Christina Tønnesen-Friedman (2012)
Open Mathematics
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We provide nontrivial examples of solutions to the system of coupled equations introduced by M. García-Fernández for the uniformization problem of a triple (M; L; E), where E is a holomorphic vector bundle over a polarized complex manifold (M, L), generalizing the notions of both constant scalar curvature Kähler metric and Hermitian-Einstein metric.
Arvanitoyeorgos, Andreas, Beneki, Christina
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Pyo, Yong-Soo, Shin, Kyoung-Hwa (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Philippe Delanoë (1990)
Compositio Mathematica
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Fabio Zuddas (2008-2009)
Séminaire de théorie spectrale et géométrie
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The study of the existence and uniqueness of a preferred Kähler metric on a given complex manifold is a very important area of research. In this talk we recall the main results and open questions for the most important canonical metrics (Einstein, constant scalar curvature, extremal, Kähler-Ricci solitons) in the compact and the non-compact case, then we consider a particular class of complex domains in , the so-called Hartogs domains, which can be equipped with a natural Kaehler...