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Chapter 6 Symmetric Spaces and Kähler Manifolds

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Abstract

We consider the complex vector space \({\mathbb{C}^{n+1}}.\). A complex linear subspace of \({\mathbb{C}^{n+1}}\)of complex dimension one is called a line. We define the complex projective space \({\mathbb{CP}^{n}}\)as the space of all lines in \({\mathbb{C}^{n+1}}\).

Keywords

  • Symmetric Space
  • Ahler Manifold
  • Einstein Metrics
  • Complex Projective Space
  • Lens Space

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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  • DOI: 10.1007/978-3-642-21298-7_7
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Correspondence to Jürgen Jost .

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© 2011 Springer-Verlag Berlin Heidelberg

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Jost, J. (2011). Chapter 6 Symmetric Spaces and Kähler Manifolds. In: Riemannian Geometry and Geometric Analysis. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21298-7_7

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