Riemannian Metrics

  • Peter Petersen
Part of the Graduate Texts in Mathematics book series (GTM, volume 171)


In this chapter we shall introduce the category (i.e., sets and maps) that we wish to work with. Without discussing any theory we shall present many examples of Riemannian manifolds and Riemannian maps. All of these examples will form the foundation for future investigations into constructions of Riemannian manifolds with various interesting properties.


Riemannian Manifold Vector Bundle Riemannian Geometry Warped Product Isometric Immersion 
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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Peter Petersen
    • 1
  1. 1.Department of MathematicsUniversity of California, Los AngelesLos AngelesUSA

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