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Equiaffine immersions and pseudo-Riemannian space forms

open access: yes
We introduce an explicit construction that produces immersions into the pseudosphere $\mathbb{S}^{n,n+1}$ and the pseudohyperbolic space $\mathbb{H}^{n+1,n}$ starting from equiaffine immersions in $\mathbb{R}^{n+1}$, and conversely. We describe how these immersions interact with a para-Sasaki metric defined on $\mathbb{H}^{n+1,n}$ via a principal ...
openaire   +2 more sources

Comparison theorems on H-type sub-Riemannian manifolds. [PDF]

open access: yesCalc Var Partial Differ Equ
Baudoin F   +3 more
europepmc   +1 more source

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