Podestà, Fabio. "Projective invariant metrics and open convex regular cones. I." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 81.2 (1987): 125-137. <http://eudml.org/doc/287186>.
@article{Podestà1987,
abstract = {In this work we give a characterization of the projective invariant pseudometric $P$, introduced by H. Wu, for a particular class of real $\mathbf\{C\}^\{\infty\}$-manifolds; in view of this result, we study the group of projective transformations for the same class of manifolds and we determine the integrated pseudodistance $p$ of $P$ in open convex regular cones of $\mathbb\{R\}^\{n\}$, endowed with the characteristic metric.},
author = {Podestà, Fabio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Projective connections; Regular cones; Projective transformations; symmetric complete connection; Ricci tensor; pseudometric; self-dual cones; Koecher norm},
language = {eng},
month = {6},
number = {2},
pages = {125-137},
publisher = {Accademia Nazionale dei Lincei},
title = {Projective invariant metrics and open convex regular cones. I},
url = {http://eudml.org/doc/287186},
volume = {81},
year = {1987},
}
TY - JOUR
AU - Podestà, Fabio
TI - Projective invariant metrics and open convex regular cones. I
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1987/6//
PB - Accademia Nazionale dei Lincei
VL - 81
IS - 2
SP - 125
EP - 137
AB - In this work we give a characterization of the projective invariant pseudometric $P$, introduced by H. Wu, for a particular class of real $\mathbf{C}^{\infty}$-manifolds; in view of this result, we study the group of projective transformations for the same class of manifolds and we determine the integrated pseudodistance $p$ of $P$ in open convex regular cones of $\mathbb{R}^{n}$, endowed with the characteristic metric.
LA - eng
KW - Projective connections; Regular cones; Projective transformations; symmetric complete connection; Ricci tensor; pseudometric; self-dual cones; Koecher norm
UR - http://eudml.org/doc/287186
ER -