[Turkmath:9032] Dokuz Eylul Universitesi Matematik Bolumu Semineri (Mustafa Kalafat)

[Celal Cem Sarioglu]

Dokuz Eylül Universitesi Matematik Bölümü Geometri-Topoloji Semineri


Konuşmacı: Mustafa Kalafat (Michigan State University, Tunceli Üniversitesi)
Başlık: Einstein-Hermitian (complex) surfaces of positive holomorphic
bisectional curvature
Tarih : 23 Mayıs 2013, Perşembe
Saat : 13:30
Yer: DEU Matematik Bölümü B256 nolu sınıf, Tınaztepe, Buca


ABSTRACT
We show that a compact complex surface together with an Einstein-Hermitian
metric of positive holomorphic bisectional curvature is biholomorphically
isometric to the complex projective plane with its Fubini-Study metric up
to rescaling. This result relaxes the Kaehler condition in Berger's theorem
(1965), and the positivity condition on sectional curvature in a theorem
proved by Koca.
(Joint work with C.Koca.)
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