Geodesic
Affine spheres with prescribed Blaschke metric
Filomat, Tome 33 (2019) no. 18, p. 5967

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

It is proved that the equality ∆ ln |κ−λ| = 6κ, where κ is the Gaussian curvature of a metric tensor 1 on a 2-dimensional manifold is a sufficient and necessary condition for local realizability of the metric as the Blaschke metric of some affine sphere. Consequently, the set of all improper local affine spheres with nowhere-vanishing Pick invariant can be parametrized by harmonic functions
DOI : 10.2298/FIL1918967O
Classification : 53A15, 53B05, 53B20, 35A01
Keywords: affine sphere, Blaschke metric, affine connection 
Barbara Opozda. Affine spheres with prescribed Blaschke metric. Filomat, Tome 33 (2019) no. 18, p. 5967 . doi: 10.2298/FIL1918967O
@article{10_2298_FIL1918967O,
     author = {Barbara Opozda},
     title = {Affine spheres with prescribed {Blaschke} metric},
     journal = {Filomat},
     pages = {5967 },
     year = {2019},
     volume = {33},
     number = {18},
     doi = {10.2298/FIL1918967O},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1918967O/}
}
TY  - JOUR
AU  - Barbara Opozda
TI  - Affine spheres with prescribed Blaschke metric
JO  - Filomat
PY  - 2019
SP  - 5967 
VL  - 33
IS  - 18
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL1918967O/
DO  - 10.2298/FIL1918967O
LA  - en
ID  - 10_2298_FIL1918967O
ER  - 
%0 Journal Article
%A Barbara Opozda
%T Affine spheres with prescribed Blaschke metric
%J Filomat
%D 2019
%P 5967 
%V 33
%N 18
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL1918967O/
%R 10.2298/FIL1918967O
%G en
%F 10_2298_FIL1918967O

Cité par Sources :