Finiteness of and geometric inequalities in almost positive Ricci curvature
Erwann Aubry (2007)
Annales scientifiques de l'École Normale Supérieure
Similarity:
Erwann Aubry (2007)
Annales scientifiques de l'École Normale Supérieure
Similarity:
Atsushi Kasue (1984)
Annales scientifiques de l'École Normale Supérieure
Similarity:
Walter Seaman (1986)
Annales de l'institut Fourier
Similarity:
We prove that if the sectional curvature, , of a compact 6-manifold without boundary satisfies then its third (real) Betti number is zero.
Shigeru Kodani (1990)
Compositio Mathematica
Similarity:
Alberto G. Setti (1998)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Vicente Miquel, Vicente Palmer (1993)
Compositio Mathematica
Similarity:
Dominique Bakry, Zhongmin M. Qian (1999)
Revista Matemática Iberoamericana
Similarity:
Several new Harnack estimates for positive solutions of the heat equation on a complete Riemannian manifold with Ricci curvature bounded below by a positive (or a negative) constant are established. These estimates are sharp both for small time, for large time and for large distance, and lead to new estimates for the heat kernel of a manifold with Ricci curvature bounded below.