Support functions and integral formulas in the Lorentzian plane |
| |
| Authors: | Graciela Silvia Birman |
| |
| Institution: | (1) NUCOMPA-CONICET, Dept. of Mathematics, Fac. of Exact Science, UNCPBA Pinto 399- (7000) Tandil, Argentina, e-mail: gbirman@exa.unicen.edu.ar, AR |
| |
| Abstract: | In the Lorentzian plane, the support function of a closed convex curve is not a periodic one. We redefine this concept and
the envelope of a families of lines. Using these, we prove integral formulas in the Crofton's style for convex sets in the
Lorentzian plane.
Received 10 February 2000. |
| |
| Keywords: | : Lorentzian plane Crofton's formulas |
| 本文献已被 SpringerLink 等数据库收录！ |
|
