M8100 Differential Geometry

Faculty of Science
Spring 2000
Extent and Intensity
2/1/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Ivan Kolář, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Ivan Kolář, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Ivan Kolář, DrSc.
Prerequisites (in Czech)
M3100 Mathematical Analysis III && M4170 Measure and Integral && M2110 Linear algebra II && M3120 Geometry && M6140 Topology
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Syllabus
  • Submanifolds in numerical spaces.
  • Smooth manifolds and smooth maps.
  • Vector fields, bracket, flow.
  • Foundations of tensor algebra.
  • Exterior forms and exterior differential.
  • General Stokes theorem.
  • Surfaces in three-dimensional space.
  • Basic concepts from Riemannian geometry.
Literature
  • KLINGENBERG, Wilhelm. A course in differential geometry. Online. New York: Springer-Verlag, 1978. 178 pp. Graduate Texts in Mathematics, Vol. 51. ISBN 0-387-90255-4. [citováno 2024-04-23] info
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Spring 2001, Spring 2002.
  • Enrolment Statistics (Spring 2000, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2000/M8100