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Course Information

Course Information

Course Title	Code	Semester	L+U Hour	Credits	ECTS
DIFFERENTIABLE MANIFOLDS II	801500715140		3 + 0	3.0	8.0

Prerequisites

None

Language of Instruction	Turkish
Course Level	Graduate Degree
Course Type	Compulsory
Mode of delivery	face to face
Course Coordinator
Instructors
Assistants
Goals	The structure of thesubmanifold and structuresof the different manifold teaching.
Course Content	Shape operator, Connections on a manifold, the Gauss equation, differentiable forms, manifold orientation, unit split, curvature and torsion, connection forms, Riemannian manifold, Riemannian connection, Geometry of surfaces in E3, Riemannian submanifolds, hypersurfaces, Codazzi-Mainardi equations, integration on manifolds, Lie groups, 1-parameter groups on a manifold, Lie derivative
Learning Outcomes	1) Learning the differentiable structure on manifolds. 2) To comprehend Lie algebra. 3) Learning the metric structure on manifolds.