DIFFERENTIAL GEOMETRY (M7110)
This is a list of books and lectures notes that cover the material of the class and
also provide further reading.
References
[1] A. Čap, J. Slovák: Parabolic Geometries I: Background and General Theory, Math. Surv. and
Monographs 154, AMS 2009; Sections 1.3 and 1.4.
[2] A. Čap: Lie Groups (lecture notes), available at https://www.mat.univie.ac.at/ cap/files/LieGroups.pdf
[3] A. Čap: Geometry of Homogeneous spaces (lecture notes), available at
https://www.mat.univie.ac.at/ cap/files/Geom-Homog.pdf
[4] W. Fulton and J. Harris: Representation Theory: A first Course, Graduate Texts in Mathematics
129, Springer, 1991.
[5] A.W. Knapp: Lie Groups beyond an introduction, Progress in Mathem. 140, Birhäuser, 1996.
[6] S. Kobayashi and K. Nomizu: Foundations of Differential Geometry, Volume I and II, Interscience
1963 and 1969; Chapters II-V and X, XII.
[7] P. Michor: Topics in Differential Geometry, AMS 2008; Chapter II, IV, and V.
[8] R. S. Millman and Ann K. Stehney: The geometry of connections, AMS, Monthly, 80 (1973),
475-500.
[9] C. Wendl: Lecture Notes on Bundles and Connections, available here
https://www2.mathematik.hu-berlin.de/ wendl/connections.html
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