Course: Theory of Diffeomorphisms

« Back
Course title Theory of Diffeomorphisms
Course code KAG/PGSTD
Organizational form of instruction Lecture
Level of course Doctoral
Year of study not specified
Semester Winter and summer
Number of ECTS credits 15
Language of instruction Czech, English
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Mikeš Josef, prof. RNDr. DrSc.
Course content
Introduction to geodesic, holomorphically-projective and F-planar mappings of spaces with affine connection and Riemannian spaces.

Learning activities and teaching methods
Work with Text (with Book, Textbook)
Learning outcomes
Sumarize the principles of geodesic, holomorphically-projective and F-planar mappings of spaces with affine connection and Riemannian spaces.
1. Knowledge Describe the theory of diffeomorphisms.
Prerequisites
Knowledge the principles on university mathematics level.

Assessment methods and criteria
Oral exam, Written exam

Recommended literature
  • Kobayashi S.,Nomizu K. (1969). Foundations of Differential geometry I, II. Willey.
  • Kolář I.,Michor P.W.,Slovák J. (1993). Natural Operators in Differential Geometry. Springer.
  • Krupka D.,Janyška J. (1990). Lectures on Differential Invariants. Brno.
  • Mikeš, J., Kiosak, V., Vanžurová, A. (2008). Geodesics Mappings of Manifolds with Affine Connection. Olomouc, Palackého univerzita.
  • Sinyukov, N. S. (1979). Geodesic mappings of Riemannian spaces. Nauka Moskva.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester