Special Topics

Part of the Progress in Mathematical Physics book series (PMP, volume 56)


We have discussed Gauss’ Theorema Egregium and the Gauss and Codacci equations in Chapter 2 in their original formulation of a two-dimensional surface imbedded in the three-dimensional Euclidean space. The metric and the covariant derivative on the surface was induced from the derivative of the ambient Euclidean space. The great discovery was that the metric and covariant derivative referred only to the surface, that is, intrinsic quantities. This result led to the Riemannian geometry we know.


Special Topic Dust Particle Covariant Derivative Proper Time Strong Energy Condition 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Hindustan Book Agency (HBA) 2009

Personalised recommendations