Intended for use in college courses for prospective or in-service secondary school teachers of geometry. Designed to give teachers broad preparation in the content of elementary geometry as well as closely related topics of a slightly more advanced nature.
This course will develop the parallel between the geometry of a compact, oriented differentiable manifold M endowed with a Riemannian metric and the geometry of a compact (oriented) complex manifold M with a Riemannian metric compatible with the complex structure. Such a metric is called a Kahler metric for M.