Linear combinations of hypersurfaces in hyperbolic space

E. Gallego; G. Solanes; E. Teufel

doi:https://doi.org/10.1007/s00605-012-0405-x

Linear combinations of hypersurfaces in hyperbolic space

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

Abstract

In this article we introduce and investigate linear combinations of hypersurfaces in hyperbolic space. For this purpose we use some linear structure in the space of horospheres. © 2012 Springer-Verlag.

Original language	English
Pages (from-to)	329-354
Journal	Monatshefte fur Mathematik
Volume	169
DOIs	https://doi.org/10.1007/s00605-012-0405-x
Publication status	Published - 1 Jan 2013

Keywords

Convex sets
Horospheres
Hyperbolic space
Minkowski addition

Access to Document

https://doi.org/10.1007/s00605-012-0405-x

Cite this

@article{2acebe64cc0b452ba68c0f784d604e21,

title = "Linear combinations of hypersurfaces in hyperbolic space",

abstract = "In this article we introduce and investigate linear combinations of hypersurfaces in hyperbolic space. For this purpose we use some linear structure in the space of horospheres. {\textcopyright} 2012 Springer-Verlag.",

keywords = "Convex sets, Horospheres, Hyperbolic space, Minkowski addition",

author = "E. Gallego and G. Solanes and E. Teufel",

year = "2013",

month = jan,

day = "1",

doi = "https://doi.org/10.1007/s00605-012-0405-x",

language = "English",

volume = "169",

pages = "329--354",

}

TY - JOUR

T1 - Linear combinations of hypersurfaces in hyperbolic space

AU - Gallego, E.

AU - Solanes, G.

AU - Teufel, E.

PY - 2013/1/1

Y1 - 2013/1/1

N2 - In this article we introduce and investigate linear combinations of hypersurfaces in hyperbolic space. For this purpose we use some linear structure in the space of horospheres. © 2012 Springer-Verlag.

AB - In this article we introduce and investigate linear combinations of hypersurfaces in hyperbolic space. For this purpose we use some linear structure in the space of horospheres. © 2012 Springer-Verlag.

KW - Convex sets

KW - Horospheres

KW - Hyperbolic space

KW - Minkowski addition

U2 - https://doi.org/10.1007/s00605-012-0405-x

DO - https://doi.org/10.1007/s00605-012-0405-x

M3 - Article

VL - 169

SP - 329

EP - 354

ER -

Linear combinations of hypersurfaces in hyperbolic space

Abstract

Keywords

Access to Document

Fingerprint

Cite this