A Comprehensive Introduction to Differential Geometry, Vol.

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Language: English

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The notion of a directional derivative of a function from the multivariable calculus is extended in Riemannian geometry to the notion of a covariant derivative of a tensor. We discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness properties of Green functions and Green operators is discussed. The story of how that lecture was conceived is an interesting one, and I shall summarise it as it appears in Michael Spivak 's second volume of his A Comprehensive Introduction to Differential Geometry.

Pages: 0

Publisher: Publish or Perish, inc; 1st edition (January 1, 1975)

ISBN: 0914098020

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