Translate:
English
Chinese (S)
Chinese (T)
Croatian
Dutch
French
German
Hebrew
Italian
Japanese
Korean
Portuguese
Russian
Serbian
Spanish
Swedish
Turkish
Additional
Einstein manifold
English Wikipedia - The Free Encyclopedia
Download this dictionary
Einstein manifold
In
differential geometry
and
mathematical physics
, an
Einstein manifold
is a
Riemannian
or
pseudo-Riemannian manifold
whose
Ricci tensor
is proportional to the
metric
. They are named after
Albert Einstein
because this condition is equivalent to saying that the metric is a solution of the
vacuum
Einstein field equations
(with
cosmological constant
), although the dimension, as well as the signature, of the metric can be arbitrary, unlike the four-dimensional
Lorentzian manifolds
usually studied in
general relativity
.
See more at Wikipedia.org...
© This article uses material from
Wikipedia
®
and is licensed under the
GNU Free Documentation License
and under the
Creative Commons Attribution-ShareAlike License