Benz, Walter Classical geometries in modern contexts. Geometry of real inner product spaces. 3rd expanded ed. (English) Zbl 1253.51002 Basel: Birkhäuser (ISBN 978-3-0348-0419-6/hbk; 978-3-0348-0420-2/ebook). xvi, 309 p. (2012). Reviewer: Victor V. Pambuccian (Phoenix) MSC: 51-02 51B10 51B25 51M05 51M10 83A05 83C20 39B52 PDFBibTeX XMLCite \textit{W. Benz}, Classical geometries in modern contexts. Geometry of real inner product spaces. 3rd expanded ed. Basel: Birkhäuser (2012; Zbl 1253.51002) Full Text: DOI
Benz, Walter A characterization of dimension-free hyperbolic geometry and the functional equation of 2-point invariants. (English) Zbl 1209.51010 Aequationes Math. 80, No. 1-2, 5-11 (2010). Reviewer: Victor V. Pambuccian (Phoenix) MSC: 51M10 39B52 PDFBibTeX XMLCite \textit{W. Benz}, Aequationes Math. 80, No. 1--2, 5--11 (2010; Zbl 1209.51010) Full Text: DOI
Benz, Walter Classical geometries in modern contexts. Geometry of real inner product spaces. 2nd ed. (English) Zbl 1135.51002 Basel: Birkhäuser (ISBN 978-3-7643-8540-8/hbk). xii, 277 p. (2008). Reviewer: Victor V. Pambuccian (Dortmund) MSC: 51-02 51B10 51B25 51M05 51M10 83A05 83C20 39B52 PDFBibTeX XMLCite \textit{W. Benz}, Classical geometries in modern contexts. Geometry of real inner product spaces. 2nd ed. Basel: Birkhäuser (2008; Zbl 1135.51002)
Benz, Walter Classical geometries in modern contexts. Geometry of real inner product spaces. (English) Zbl 1084.51001 Basel: Birkhäuser (ISBN 3-7643-7371-7/hbk). xii, 242 p. (2005). Reviewer: Victor V. Pambuccian (Phoenix) MSC: 51-02 51B10 51B25 51M05 51M10 83A05 83C20 39B52 PDFBibTeX XMLCite \textit{W. Benz}, Classical geometries in modern contexts. Geometry of real inner product spaces. Basel: Birkhäuser (2005; Zbl 1084.51001)
Benz, Walter Translations in hyperbolic geometry of finite or infinite dimension. (English) Zbl 1085.39021 Publ. Math. Debr. 67, No. 1-2, 189-198 (2005). MSC: 39B22 39B72 51M05 51M10 PDFBibTeX XMLCite \textit{W. Benz}, Publ. Math. Debr. 67, No. 1--2, 189--198 (2005; Zbl 1085.39021)
Benz, Walter Extensions of distance preserving mappings in euclidean and hyperbolic geometry. (English) Zbl 1059.51018 J. Geom. 79, No. 1-2, 19-26 (2004). Reviewer: Mowaffaq Hajja (Irbid) MSC: 51M05 51M10 51F25 39B52 PDFBibTeX XMLCite \textit{W. Benz}, J. Geom. 79, No. 1--2, 19--26 (2004; Zbl 1059.51018) Full Text: DOI
Benz, Walter Möbius sphere geometry in inner product spaces. (English) Zbl 1081.51500 Aequationes Math. 66, No. 3, 284-320 (2003). Reviewer: Gloria Rinaldi (Reggio Emilia) MSC: 51B10 51M10 51N25 39B52 PDFBibTeX XMLCite \textit{W. Benz}, Aequationes Math. 66, No. 3, 284--320 (2003; Zbl 1081.51500) Full Text: DOI
Benz, W. A common characterization of Euclidean and hyperbolic geometry by functional equations. (English) Zbl 1052.39022 Publ. Math. Debr. 63, No. 3, 495-510 (2003). Reviewer: Prasanna K. Sahoo (Louisville) MSC: 39B22 39B72 51M05 51M10 PDFBibTeX XMLCite \textit{W. Benz}, Publ. Math. Debr. 63, No. 3, 495--510 (2003; Zbl 1052.39022)
Benz, W. A characterization of relativistic addition. (English) Zbl 1010.39009 Abh. Math. Semin. Univ. Hamb. 70, 251-258 (2000). Reviewer: J.Schwaiger (Graz) MSC: 39B52 51M10 83A05 PDFBibTeX XMLCite \textit{W. Benz}, Abh. Math. Semin. Univ. Hamb. 70, 251--258 (2000; Zbl 1010.39009) Full Text: DOI
Benz, Walter Hyperbolic distances in Hilbert spaces. (English) Zbl 0931.39014 Aequationes Math. 58, No. 1-2, 16-30 (1999). Reviewer: Johann Aczél (Waterloo/Ontario) MSC: 39B52 46C05 51F25 51K05 51M10 PDFBibTeX XMLCite \textit{W. Benz}, Aequationes Math. 58, No. 1--2, 16--30 (1999; Zbl 0931.39014) Full Text: DOI
Benz, Walter Hyperbolic and Euclidean distance functions. (English) Zbl 1079.39501 God. Sofij. Univ., Fak. Mat. Inform. 89(1995), No. 1, 59-67 (1998). MSC: 39B22 51K05 51M05 51M10 PDFBibTeX XMLCite \textit{W. Benz}, God. Sofiĭ. Univ., Fak. Mat. Inform. 89, No. 1, 59--67 (1998; Zbl 1079.39501)
Benz, W. Translation equation and some new geometries. (English) Zbl 0912.39009 Publ. Math. Debr. 52, No. 3-4, 299-308 (1998). Reviewer: Zoltán Boros (Debrecen) MSC: 39B12 39B52 51M10 PDFBibTeX XMLCite \textit{W. Benz}, Publ. Math. Debr. 52, No. 3--4, 299--308 (1998; Zbl 0912.39009)
Benz, Walter Real geometries. (English) Zbl 0819.51002 Mannheim: B.I. Wissenschaftsverlag. 379 p. DM 78.00; öS 609.00; sFr 78.00/hbk (1994). Reviewer: H.Havlicek (Wien) MSC: 51-02 51M04 51M05 51M09 51M10 51M25 51N10 51N15 51N20 51N25 51N30 51P05 83A05 PDFBibTeX XMLCite \textit{W. Benz}, Real geometries. Mannheim: B.I. Wissenschaftsverlag (1994; Zbl 0819.51002)
Benz, Walter On a general principle in geometry that leads to functional equations. (English) Zbl 0788.39005 Aequationes Math. 46, No. 1-2, 3-10 (1993). Reviewer: J.Aczél (Waterloo / Ontario) MSC: 39B52 39B22 39-02 51N25 51M10 51F25 51M05 PDFBibTeX XMLCite \textit{W. Benz}, Aequationes Math. 46, No. 1--2, 3--10 (1993; Zbl 0788.39005) Full Text: DOI EuDML
Benz, Walter On a functional equation arising from hyperbolic geometry. (English) Zbl 0443.39005 Aequationes Math. 21, 113-119 (1980). MSC: 39B52 39B99 13A15 13H05 51C05 51M10 06F25 PDFBibTeX XMLCite \textit{W. Benz}, Aequationes Math. 21, 113--119 (1980; Zbl 0443.39005) Full Text: DOI EuDML