Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
COMPLEX MANİFOLDS II MAT 628 0 3 + 0 3 6
Ön Koşul Dersleri
Önerilen Seçmeli Dersler
Dersin Dili Türkçe
Dersin Seviyesi Doktora
Dersin Türü SECMELI
Dersin Koordinatörü Doç.Dr. MAHMUT AKYİĞİT
Dersi Verenler
Dersin Yardımcıları
Dersin Kategorisi
Dersin Amacı
The kahler structures and manifolds course aims to give the fundamental knowledge for the studies of graduate students who study at topology, algebra and geometry branch
Dersin İçeriği
Hermit manifolds, Hermitian structures and connections, Kahler ıdentities, Kahler metrics characterization of kahler metrics, Kahler form and volume, Differential operators on a kahler manifold, Hodge theory on kahler manifolds, The hodge decomposition theorem on compact kahler manifolds, The curvature tensor of kahler manifolds, Almost kahler manifolds, The hodge-riemann bilinear relations on a kahler manifold, Quaternion kahler manifolds, Submanifolds of kahler manifolds, Cr-submanifolds of kahler manifolds
Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
1 - He/she learns hermit manifolds 1 - 2 - 3 - 10 - 14 - 15 - A - C -
2 - He/she realizes Kahler metric and solves its examples 1 - 2 - 3 - 10 - 14 - 15 - A - C -
3 - He/she realizes cuvatures tensors of kahler manifolds 1 - 2 - 3 - 10 - 14 - 15 - A - C -
4 - He/she defines and compares submanifolds of kahler manifolds 1 - 2 - 3 - 10 - 14 - 15 - A - C -
Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 3:Discussion 10:Brain Storming 14:Self Study 15:Problem Solving
Ölçme Yöntemleri: A:Testing C:Homework
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