COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 564SEMI-RIEMANN MANIFOLDS I3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective Teaching the basic concepts of Minkowski space and Lorentzian structures.
Course Content Symetric Bilinear Forms, Scalar Products, Isometries, Levi-Civita Connection, Parallel Translation, Geodesics, Exponential Mapping, Curvature, Cross Sectional Curvature, Semi-Riemann Surfaces, Type Change and Metric Contraction, Frame Fields, Some Differential Operators, Semi-Riemann Product Manifolds with Ricci ve Scalar Curvature, Local Isometries.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to face

COURSE LEARNING OUTCOMES
1Realizes the Symetric Bilinear Forms, Scalar Products, Isometries.
2Identifies the Levi-Civita Connection, Parallel Translation, Geodesics, Exponential Mapping.
3Learns the Curvature, Cross Sectional Curvature, Semi-Riemann Surfaces, Type Change and Metric Contraction, Frame Fields.
4Identifies the Some Differential Operators, Semi-Riemann Product Manifolds with Ricci ve Scalar Curvature, Local Isometries.

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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