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. New York: Springer-Verlag, 1978, 178 pp. Graduate Texts in Mathematics, Vol. 51. ISBN 0-387-90255-4. 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