Geometric measure theory and manifolds of nonnegative ricci curvature

Proceedings of the Japan Academy Series A: Mathematical Sciences

Volumn 72, Issue 6, 1996, Pages 126-128

  Itokawa, Yoe ^a   Kobayashi, Ryoichi ^b  

^a FUKUOKA INSTITUTE OF TECHNOLOGY   (Japan)

^b NAGOYA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444434388     PISSN: 03862194     EISSN: None     Source Type: Journal    
DOI: 10.3792/pjaa.72.126     Document Type: Article

References (12)

1. U. Abresch and G. Gromoll: On complete manifolds with nonnegative Ricci curvature. J. Amer. Math. Soc., 3, 355-374 (1990).
2. J. Cheeger and T. Colding: Almost rigidity of warped products and the structure of spaces with Ricci curvature bounded below (preprint).
3. J. Cheeger, M. Gromov, and M. Taylor: Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete riemannian manifolds. J. Diff. Geom., 17, 119-128 (1974).
4. Y. Federer: Geomatric Measure Theory. Springer-Verlag, New York (1969).
5. Y. Itokawa: On minimal hypersurfaces of nonnegatively Ricci curved manifolds. Internat. J. Math. & Math. Sci., 16, 573-578 (1993).
6. Y. Itokawa and R. Kobayashi: The existence of minimizing currents in open manifolds and the n -1 homology of nonnegatively Ricci curved manifolds (in preparation).
7. A. Kasue: Ricci curvature, geodesies, and some geometric properties of riemannian manifolds with boundary. J. Math. Soc. Japan, 35, 117-131 (1983).
8. D. Meyer: Sur les hypersurface minimales des variétés riemannienne à curbure de Ricci positive ou nulle. Bull. Soc. Math. France, 111. 359-366 (1983).
9. G. Perelman: Manifolds of positive Ricci curva-ture with almost maximal volume. J. Amer. Math. Soc.,7, 299-305 (1994).
10. Z. Shen: On complete manifolds of nonnegative Kth-Ricci curvature. Trans. Amer. Math. Soc., 338, 289-310 (1993).
11. Z. Shen and G. Wei: Volume growth and finite topological type. Proc. Symp. Pure Math., vol. 54, pp. 289-310 (1993).
12. S. T. Yau: Some function-theoretic properties of complete manifolds and their applications to geometry, Indiana Univ. Math. J., 25, 659-670 (1976).