1 Structure de contact et équations aux dérivées partielles d'après V. V. Lychagin
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Guy Patissier (1983)
Publications du Département de mathématiques (Lyon)
D. Sondaz (1983)
Publications du Département de mathématiques (Lyon)
Sun-Yung A. Chang, Matthew J. Gursky, Paul C. Yang (2003)
Publications Mathématiques de l'IHÉS
Christopher Deninger, Wilhelm Singhof (2001)
Annales de l’institut Fourier
We construct a two dimensional foliation with dense leaves on the Heisenberg nilmanifold for which smooth leafwise Hodge decomposition does not hold. It is also shown that a certain type of dynamical trace formulas relating periodic orbits with traces on leafwise cohomologies does not hold for arbitrary flows.
Aobing Li, Yan Yan Li (2006)
Journal of the European Mathematical Society
We propose to study a fully nonlinear version of the Yamabe problem on manifolds with boundary. The boundary condition for the conformal metric is the mean curvature. We establish some Liouville type theorems and Harnack type inequalities.
MA Li, Wang Hui (1996)
Mathematische Zeitschrift
Takaaki Nomura (1989)
Journal für die reine und angewandte Mathematik
J.-J. Moreau (1989)
Annales de l'I.H.P. Analyse non linéaire
Min-Oo (1982)
Compositio Mathematica
Ph. Delanoe (1983)
Manuscripta mathematica
S. Rempel, B. W. Schulze (1987)
Banach Center Publications
Takashi Kameda, Seiichi Yamaguchi (1985)
Colloquium Mathematicae
V.I. Oliker, U. Simon (1983)
Journal für die reine und angewandte Mathematik
Joyce, Dominic (1998)
Documenta Mathematica
Hebey, Emmanuel, Robert, Frédéric (2004)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Pham The Lai, Vesselin Petkov (1983)
Journées équations aux dérivées partielles
Ma Li (1993)
Mathematische Annalen
Matthew Gursky, Jeffrey Streets, Micah Warren (2010)
Annales de l’institut Fourier
Given a three-dimensional manifold with boundary, the Cartan-Hadamard theorem implies that there are obstructions to filling the interior of the manifold with a complete metric of negative curvature. In this paper, we show that any three-dimensional manifold with boundary can be filled conformally with a complete metric satisfying a pinching condition: given any small constant, the ratio of the largest sectional curvature to (the absolute value of) the scalar curvature is less than this constant....
S.-T. Yau, R. Schoen (1988)
Inventiones mathematicae
L. Saloff-Coste (1994)
Colloquium Mathematicae
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