Speaker
Gareth Amery
(UKZN)
Description
We provide a survey of both existence results and explicit solutions for Local Isometric Embeddings into higher dimensional Euclidean and more general pseudo-Riemannian geometries. Of particular interest are recent results establishing that, for analytical spacetimes, the Euclidean co-dimension is at most two. This casts new light on the Karmarkar condition for class one pseudo-Euclidean embeddings and its analogues for class two embeddings into pseudo-Euclidean spaces, and more general embedding spaces, from which we derive a new embedding condition.
Author
Gareth Amery
(UKZN)
