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pro vyhledávání: '"Claude LeBrun"'
Autor:
Claude LeBrun
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 17, Iss 3, Pp 513-522 (1997)
A smooth compact manifold M is said to have negative Yamabe invariant if all the scalar curvatures of unit-volume constant-scalar-curvature riemannian metrics on M are less than some (uniform) negative constant. If M happens to be the underlying 4-ma
Externí odkaz:
https://doaj.org/article/1db8e86124704059a1e165de4efa6874
Autor:
Claude LeBrun
Publikováno v:
Perspectives in Scalar Curvature ISBN: 9789811249983
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd4790673a50dc70efb272ffd1dc93b1
https://doi.org/10.1142/9789811273223_0006
https://doi.org/10.1142/9789811273223_0006
Autor:
Claude LeBrun
Publikováno v:
Mathematical Research Letters. 28:127-144
Autor:
Christopher J. Bishop, Claude LeBrun
Publikováno v:
Communications in Analysis and Geometry. 28:745-780
Autor:
Claude LeBrun
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications.
The fact that every compact oriented 4-manifold admits spinc structures was proved long ago by Hirzebruch and Hopf. However, the usual proof is neither direct nor transparent. This article gives a new proof using twistor spaces that is simpler and mo
Autor:
Claude LeBrun
Publikováno v:
Annals of Global Analysis and Geometry. 56:97-112
In the author’s previous joint work with Hein (Commun Math Phys 347:183–221, 2016), a mass formula for asymptotically locally Euclidean Kahler manifolds was proved, assuming only relatively weak fall-off conditions on the metric. However, the cas
Autor:
Claude LeBrun
Publikováno v:
Notices of the International Congress of Chinese Mathematicians. 7:67-70
Autor:
Claude LeBrun
The author has elsewhere given a complete classification of those compact oriented Einstein 4-manifolds on which the self-dual Weyl curvature is everywhere positive in the direction of some self-dual harmonic 2-form. In this article, similar results
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c15217b3c6c91b9ef65df904e950dbf4
https://doi.org/10.1017/9781108884136.012
https://doi.org/10.1017/9781108884136.012
Autor:
Claude LeBrun
An oriented Riemannian 4-manifold is said to be half-conformally-flat if its conformal curvature W, considered as a bundle-valued 2-form, is either self-dual or anti-self-dual. We describe a construction [29] of compact half-conformally-flat manifold
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ac97aecb6fe7e0ccbb107fa5fd49379
https://doi.org/10.1201/9781003071891-10
https://doi.org/10.1201/9781003071891-10