On the Total Absolute Curvature of Closed Curves in Manifolds of Negative Curvature.
Yôtarô Tsukamoto (1974)
Mathematische Annalen
Similarity:
Yôtarô Tsukamoto (1974)
Mathematische Annalen
Similarity:
Katsuei Kenmotsu (1974)
Mathematische Annalen
Similarity:
Barbara Opozda (1983)
Annales Polonici Mathematici
Similarity:
Xianzhe Dai, Guofang Wei (1995)
Mathematische Annalen
Similarity:
Yoshihisa Kitagawa, Yoshihiro Ohnita (1983)
Mathematische Annalen
Similarity:
Yukio Otsu (1991)
Mathematische Zeitschrift
Similarity:
Y.Y. Baldin, Maria H. Noronha (1987)
Mathematische Zeitschrift
Similarity:
Eberhard Teufel (1981)
Mathematische Annalen
Similarity:
Mingliang Cai, G.J. Galloway (1996)
Mathematische Zeitschrift
Similarity:
Katsumi Nomizu, Larry Graves (1978)
Mathematische Annalen
Similarity:
Katsumi Nomizu, Marcos Dajczer (1980)
Mathematische Annalen
Similarity:
Jacques Lafontaine (1982)
Mathematische Annalen
Similarity:
Werner Ballmann (1982)
Mathematische Annalen
Similarity:
Andrzej Derdzinski (1982)
Mathematische Annalen
Similarity:
Jing Mao (2016)
Czechoslovak Mathematical Journal
Similarity:
In this paper, for complete Riemannian manifolds with radial Ricci or sectional curvature bounded from below or above, respectively, with respect to some point, we prove several volume comparison theorems, which can be seen as extensions of already existing results. In fact, under this radial curvature assumption, the model space is the spherically symmetric manifold, which is also called the generalized space form, determined by the bound of the radial curvature, and moreover, volume...