Introduction to Differential Geometry

Ivan G. Avramidi
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Ivan G. Avramidi: New Mexico Tech, Department of Mathematics

Chapter Chapter 3 in Heat Kernel Method and its Applications, 2015, pp 87-166 from Springer

Abstract: Abstract In this chapter we give a brief introduction to basic concepts of differential geometry. This is a huge subject and we will only introduce background material necessary for the study of the heat kernel on Riemannian manifolds. A wide range of books on differential geometry at various levels of difficulty is listed in the bibliography.

Keywords: Symmetric Space; Covariant Derivative; Tangent Vector; Heat Kernel; Parallel Transport (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-26266-6_3

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DOI: 10.1007/978-3-319-26266-6_3

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