Welcome, Guest . Login . Türkçe
Where Am I: Ninova / Courses / Faculty of Science and Letters / MAT 458E / Course Informations
 

Course Information

Course Name
Turkish Riemann Geometrisi
English Riemannian Geometry
Course Code
MAT 458E Credit Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester 8
3 3 - -
Course Language English
Course Coordinator Fatma Özdemir
Course Objectives Transformation of coordinates, covariant and contravariant tensors, metric tensor , Riemannian metric, Riemannian space, Christoffel 3-index symbols, covariant differentiation, Levi-Civita connection, curvature of a curve, geodesics, parallel transport , geodesic and Riemannian coordinates, Riemann curvature tensor, Ricci tensor, special Riemannian spaces (Einstein, Symmetric, Recurrent etc.). Hypersurfaces of Riemannian spaces; second fundamental form, Gauss and Mainardi- Codazzi equations
Course Description 1. To provide a knowledge of the intrinsic geometry of Riemannian manifolds by using tensors,
2. To provide a knowledge of the geometry of subspaces by using generalized covariant differentiation,
3. To teach some special Riemannian spaces
Course Outcomes Students completing this course will be able to :
I. apply techniques of tensor calculus to Riemannian Geometry,
II. have a knowledge and understanding of basics concepts of Riemannian Geometry
III. have an awareness of the some special Riemannian spaces.
IV. develope the ability to study subspaces of Riemannian spaces.
Pre-requisite(s) None
Required Facilities
Other
Textbook C.E.Weatherburn Riemannian Geometry and Tensor Calculus
Other References
 
 
Courses . Help . About
Ninova is an ITU Office of Information Technologies Product. © 2024