Eigenvalue comparison for tubular domains
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- by Jeffrey M. Lee PDF
- Proc. Amer. Math. Soc. 109 (1990), 843-848 Request permission
Abstract:
S. Y. Cheng’s eigenvalue comparison theorem for geodesic balls is generalized to certain tubular domains. This gives application to the infinitesimal volume comparison theory developed by E. Heintze and H. Karcher as well as A. Gray.References
- Shiu Yuen Cheng, Eigenvalue comparison theorems and its geometric applications, Math. Z. 143 (1975), no. 3, 289–297. MR 378001, DOI 10.1007/BF01214381
- Alfred Gray, Comparison theorems for the volumes of tubes as generalizations of the Weyl tube formula, Topology 21 (1982), no. 2, 201–228. MR 642000, DOI 10.1016/0040-9383(82)90005-2
- Ernst Heintze and Hermann Karcher, A general comparison theorem with applications to volume estimates for submanifolds, Ann. Sci. École Norm. Sup. (4) 11 (1978), no. 4, 451–470. MR 533065
Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 109 (1990), 843-848
- MSC: Primary 58G20; Secondary 35P15, 53C40, 58G30
- DOI: https://doi.org/10.1090/S0002-9939-1990-1021900-1
- MathSciNet review: 1021900