Course: Differential Invariants

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Course title Differential Invariants
Course code MU/03048
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • MARVAN Michal, doc. RNDr. CSc.
Course content
Jet bundles Lie transformations Lie vector fields Lie pseudogroups Differential invariants Classification of linear ODEs up to equivalence Differential invariants in natural bundles G-structures

Learning activities and teaching methods
unspecified
Recommended literature
  • P. J. Olver. Equivalence, Invariants, and Symmetry. Cambridge University Press, Cambridge, 1995. ISBN 0-521-47811-1.
  • S. Kobayashi. Transformation groups in differential geometry. Springer-Verlag, Berlin - Heidelberg - New York, 1972.
  • S. Sternberg. Lectures on Differential Geometry. AMS Chelsea Publishing, Providence, Rhode Island, 1982.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Mathematical Institute in Opava Mathematical Analysis (1-IVT) Mathematics courses 4 Winter