On k-symmetries of hyperbolic spaces

Simone Costa; Silvia Pianta

doi:10.1016/j.difgeo.2013.06.003

On k-symmetries of hyperbolic spaces

Simone Costa, Silvia Pianta

Università Cattolica del Sacro Cuore

Research output: Contribution to journal › Article › peer-review

Abstract

We determine all the possible pointwise k-symmetric spaces of negative constant curvature. In general, such spaces are not k-symmetric. In fact we show that, for all n>= 3, k not 2, H^n is not k-symmetric, i.e., for any set of selected k-symmetries, one for each point of H^n, the regularity condition does not hold.

Original language	English
Pages (from-to)	639-642
Number of pages	4
Journal	Differential Geometry and its Applications
DOIs	https://doi.org/10.1016/j.difgeo.2013.06.003
Publication status	Published - 2013

Keywords

hyperbolic space
k-symmetric space

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10.1016/j.difgeo.2013.06.003

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title = "On k-symmetries of hyperbolic spaces",

abstract = "We determine all the possible pointwise k-symmetric spaces of negative constant curvature. In general, such spaces are not k-symmetric. In fact we show that, for all n>= 3, k not 2, H^n is not k-symmetric, i.e., for any set of selected k-symmetries, one for each point of H^n, the regularity condition does not hold.",

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AU - Costa, Simone

AU - Pianta, Silvia

PY - 2013

Y1 - 2013

N2 - We determine all the possible pointwise k-symmetric spaces of negative constant curvature. In general, such spaces are not k-symmetric. In fact we show that, for all n>= 3, k not 2, H^n is not k-symmetric, i.e., for any set of selected k-symmetries, one for each point of H^n, the regularity condition does not hold.

AB - We determine all the possible pointwise k-symmetric spaces of negative constant curvature. In general, such spaces are not k-symmetric. In fact we show that, for all n>= 3, k not 2, H^n is not k-symmetric, i.e., for any set of selected k-symmetries, one for each point of H^n, the regularity condition does not hold.

KW - hyperbolic space

KW - k-symmetric space

KW - hyperbolic space

KW - k-symmetric space

UR - http://hdl.handle.net/10807/53662

U2 - 10.1016/j.difgeo.2013.06.003

DO - 10.1016/j.difgeo.2013.06.003

M3 - Article

SN - 0926-2245

SP - 639

EP - 642

JO - Differential Geometry and its Applications

JF - Differential Geometry and its Applications

ER -

On k-symmetries of hyperbolic spaces

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Keywords

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