A conformally invariant sphere theorem in four dimensions
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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
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