These lecture notes grew out of an M.Sc. course on differential geometry which I gave at the University of Leeds 1992. Their main purpose is to introduce the beautiful theory of Riemannian Geometry a still very active area of mathematical research. This is a subject with no lack of interesting examples. They are indeed the key to a good understanding of it and will therefore play a major role throughout this work. Of special interest are the classical Lie groups allowing concrete calculations of many of the abstract notions on the menu. The
CITATION STYLE
Craioveanu, M., Puta, M., & Rassias, T. M. (2001). Introduction to Riemannian Manifolds. In Old and New Aspects in Spectral Geometry (pp. 1–73). Springer Netherlands. https://doi.org/10.1007/978-94-017-2475-3_1
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