COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 579LORENTZIAN GEOMETRY3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective Teaching connection, curvature and tensor structures on the Riemannian manifold.
Course Content Connections on the Riemann Manifolds; Geodesics of the Model Spaces and Maximal Geodesics; Lengths and Distances on Riemannian Manifolds; Jacobi Fields; Symmetries of the Curvature Tensor, Ricci and Scalar Curvatures; Riemann Isometries; The Gauss–Bonnet Formula and Theorem.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to face

COURSE LEARNING OUTCOMES
1Knows connections on Riemann manifolds, learns geodesic and maximal geodesic.
2Learns the distance and the length on Riemann manifolds, realized Jacobi field. Knows curvature tensor, Ricci and Scalar curvatures.
3Learns Riemann isometries, Gauss Bonnet Theorem and formulas.

COURSE'S CONTRIBUTION TO PROGRAM
Data not found.

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration14342
Hours for off-the-classroom study (Pre-study, practice)14570
Assignments144
Mid-terms11313
Final examination12727
Presentation / Seminar Preparation13339
Total Work Load

ECTS Credit of the Course






195

7,5

COURSE DETAILS
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L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes
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