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Litterature on "small" or "compact" dimensions?
Hi! I'm reading some Kaluza-Klein theory which is an extension of normal 4D GR to a 5D spacetime in which the fifth dimension is a "small" or "compact" extra spatial dimension. I've found loads of literature on the differential geometry of hypersurfaces in higher-dimensional spaces, but I've not found anything on (the diff. geometry of) compact or small spaces. Does anyone have any recommendations on what to read in this regard?
Thanks!
Hi! I'm reading some Kaluza-Klein theory which is an extension of normal 4D GR to a 5D spacetime in which the fifth dimension is a "small" or "compact" extra spatial dimension. I've found loads of literature on the differential geometry of hypersurfaces in higher-dimensional spaces, but I've not found anything on (the diff. geometry of) compact or small spaces. Does anyone have any recommendations on what to read in this regard?
Thanks!