Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
COMPLEX MANİFOLDS II MAT 628 0 3 + 0 3 6
 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
; ;