Geodesics and conformal transformations of Heisenberg-Reiter spaces

Torres Lopera, J. F.

doi:10.1090/S0002-9947-1988-0933303-1

Geodesics and conformal transformations of Heisenberg-Reiter spaces
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by J. F. Torres Lopera PDF

Trans. Amer. Math. Soc. 306 (1988), 489-498 Request permission

Abstract:

Generalized Heisenberg groups, in the sense of Reiter, can be endowed with left-invariant metrics whose geodesies and curvature are obtained. Using these curvature data it is also proved that on their nilmanifolds (compact or not), every conformal transformation is in fact an isometry. A large family of nonisometric examples is given.

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Sur les propriétés géométriques de certaines familles d’espaces homogènes

On a class of homogeneous spaces

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