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On the construction of some complete metrics with exceptional holonomy
On construit explicitement trois metriques completes distinctes d'holonomie egale a G 2 , une metrique complete d'holonomie egale a Spin(7) et diverses metriques incompletes d'holonomie exceptionnelle
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A duality theorem for Willmore surfaces
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Metrics with exceptional holonomy
It is proved that there exist metrics with holonomy G2 and Spin(7), thus settling the remaining cases in Berger's list of possible holonomy groups. We first reformulate the "holonomy H" condition asExpand
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Exterior Differential Systems
Basic theorems Cartan-Khler theory linear differential systems the characteristic variety prolongation theory applications of commutative algebra and algebraic geometry to the study of exteriorExpand
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Surfaces of mean curvature one in hyperbolic space
An endless belt trained between a driving roller and a guiding roller, such e.g. as a wide rubber belt having a flight thereof bearing against and serving to transport photoprinting sheets over aExpand
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Rigidity of integral curves of rank 2 distributions
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Bochner-Kahler metrics
A Kahler metric is said to be Bochner-Kahler if its Bochner curvature vanishes. This is a nontrivial condition when the complex dimension of the underlying manifold is at least 2. In this article itExpand
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Exterior Differential Systems and Euler-Lagrange Partial Differential Equations
In "Exterior Differential Systems", the authors present the results of their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians andExpand
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