M7110 Differential Geometry

Faculty of Science
Autumn 2006
Extent and Intensity
4/2. 6 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: z (credit).
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.
Thu 9:00–10:50 07011
M5130 Global Analysis
Before enrolling the course the students should go through "Differential Geometry of Curves and Surfaces" and "Global Analysis".
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
Course objectives
The course presents the basic knowledge of contemporary differential geometry that propares the student for independent reading of mathe- matical literature.
  • Lie groups and Lie algebras. Actions of Lie groups on manifolds. Vector bundles and fibered manifolds. Principal and associated bundles. Connections on principal bundles, parallel transport. Linear connections on vector bundles. Koszul's approach to connections on tangent bundles. Riemannian matric and the Levi-Civita connection. Some applications.
Language of instruction
Further comments (probably available only in Czech)
The course is taught once in two years.
General note: podzim 2006 jako konzultovaná četba.
The course is also listed under the following terms Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2000, Autumn 2001, Autumn 2003, Autumn 2008, Autumn 2010, Autumn 2011 - acreditation, Autumn 2012, Autumn 2014, Autumn 2016, Autumn 2018, Spring 2021.
  • Enrolment Statistics (Autumn 2006, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2006/M7110