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math.DG2020
Non-Einstein relative Yamabe metrics
Shota Hamanaka
In this paper, we give a sufficient condition for a positive constant scalar curvature metric on a manifold with boundary to be a relative Yamabe metric, which is a natural relativ…
math.DG2020
Decompositions of the space of Riemannian metrics on a compact manifold with boundary
Shota Hamanaka
In this paper, for a compact manifold with non-empty boundary, we give a Koiso-type decomposition theorem, as well as an Ebin-type slice theorem, for the space of all Riemannia…