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math.DG2023★ 4 cited
On the existence of critical compatible metrics on contact -manifolds
Yoshihiko Mitsumatsu, Daniel Peralta-Salas, Radu Slobodeanu
We disprove the generalized Chern-Hamilton conjecture on the existence of critical compatible metrics on contact -manifolds. More precisely, we show that a contact -manifold…
math.GT2023
Remarks on flat -bundles, vs
Teruaki Kitano, Yoshihiko Mitsumatsu, Shigeyuki Morita
We describe low dimensional homology groups of in terms of Haefliger's classifying space by applying a theorem of Thurston. Then we consider…