Geodesic
Four-dimensional Einstein metrics from biconformal deformations
Archivum mathematicum, Tome 57 (2021) no. 5, pp. 255-283

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Biconformal deformations take place in the presence of a conformal foliation, deforming by different factors tangent to and orthogonal to the foliation. Four-manifolds endowed with a conformal foliation by surfaces present a natural context to put into effect this process. We develop the tools to calculate the transformation of the Ricci curvature under such deformations and apply our method to construct Einstein $4$-manifolds. Examples of one particular family have ends which collapse asymptotically to $\mathbb{R}^2$.
DOI : 10.5817/AM2021-5-255
Classification : 53C12, 53C18, 53C25
Keywords: Einstein manifold; conformal foliation; semi-conformal map; biconformal deformation 
@article{10_5817_AM2021_5_255,
     author = {Baird, Paul and Ventura, Jade},
     title = {Four-dimensional {Einstein} metrics from biconformal deformations},
     journal = {Archivum mathematicum},
     pages = {255--283},
     publisher = {mathdoc},
     volume = {57},
     number = {5},
     year = {2021},
     doi = {10.5817/AM2021-5-255},
     mrnumber = {4346113},
     zbl = {07442414},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2021-5-255/}
}
TY  - JOUR
AU  - Baird, Paul
AU  - Ventura, Jade
TI  - Four-dimensional Einstein metrics from biconformal deformations
JO  - Archivum mathematicum
PY  - 2021
SP  - 255
EP  - 283
VL  - 57
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2021-5-255/
DO  - 10.5817/AM2021-5-255
LA  - en
ID  - 10_5817_AM2021_5_255
ER  - 
%0 Journal Article
%A Baird, Paul
%A Ventura, Jade
%T Four-dimensional Einstein metrics from biconformal deformations
%J Archivum mathematicum
%D 2021
%P 255-283
%V 57
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2021-5-255/
%R 10.5817/AM2021-5-255
%G en
%F 10_5817_AM2021_5_255
Baird, Paul; Ventura, Jade. Four-dimensional Einstein metrics from biconformal deformations. Archivum mathematicum, Tome 57 (2021) no. 5, pp. 255-283. doi: 10.5817/AM2021-5-255

Cité par Sources :