Abstract
In this chapter we introduce the spaces and maps that pervade the subject. Without discussing any theory we present several examples of basic Riemannian manifolds and Riemannian maps. All of these examples will be at the heart of future investigations into constructions of Riemannian manifolds with various interesting properties.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing AG
About this chapter
Cite this chapter
Petersen, P. (2016). Riemannian Metrics. In: Riemannian Geometry. Graduate Texts in Mathematics, vol 171 . Springer, Cham. https://doi.org/10.1007/978-3-319-26654-1_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-26654-1_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-26652-7
Online ISBN: 978-3-319-26654-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)