ON RIEMANNIAN MANIFOLDS WITH POSITIVE WEIGHTED RICCI CURVATURE OF NEGATIVE EFFECTIVE DIMENSION

In this paper, we investigate complete Riemannian manifolds satisfying the lower weighted Ricci curvature bound RicN ≥ K with K > 0 for the negative effective dimension N < 0. We analyze two one-dimensional examples of constant curvature RicN ≡ K with finite and infinite total volumes. We also...

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Veröffentlicht in:	Kyushu Journal of Mathematics 2019, Vol.73(1), pp.205-218
1. Verfasser:	MAI, Cong Hung
Format:	Artikel
Sprache:	eng
Schlagworte:	Curvature Dimensional analysis Eigenvalues Manifolds (mathematics) negative effective dimensions Riemann manifold spectral gap Theorems weighted Ricci curvature
Online-Zugang:	Volltext
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