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FACULTY OF SCIENCE / MATHEMATICS / MAT4036 - AFFIN DIFFERENTIAL EQUATIONS II
GENERAL INFORMATION ABOUT THE COURSE
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Course Objective
To construct a foundation for further advanced researches in Affine differential geometry.
Brief Content of the Course
Affine convexity, ovaloid and ellipsoid, Minkowski integral formula and its applications and its relation to sustainable engineering, affine minimal hypersurfaces, affine paraboloids, affine immersions from R^n to R^n+1, Cartan-Norden theorem, affine locally symmetric hypersurfaces, projective structures and projective immersions.
Prerequisites
Course Objectives
Course Objectives
1
To teach concepts of affine convexity, ovaloid and ellipsoid.
2
To teach Minkowski integral formula and applications.
3
To introduce Affine minimal hypersurfaces.
4
To teach Affine paraboloids.
5
To teach affine immersions from R ^ n to R ^ n +1 .
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Mathematics and Basic Sciences
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Expertise /Field Courses