@article{CM_1993__86_3_317_0,
author = {Miquel, Vicente and Palmer, Vicente},
title = {Mean curvature comparison for tubular hypersurfaces in {K\"ahler} manifolds and some applications},
journal = {Compositio Mathematica},
pages = {317--335},
year = {1993},
publisher = {Kluwer Academic Publishers},
volume = {86},
number = {3},
mrnumber = {1219631},
zbl = {0782.53054},
language = {en},
url = {https://www.numdam.org/item/CM_1993__86_3_317_0/}
}
TY - JOUR AU - Miquel, Vicente AU - Palmer, Vicente TI - Mean curvature comparison for tubular hypersurfaces in Kähler manifolds and some applications JO - Compositio Mathematica PY - 1993 SP - 317 EP - 335 VL - 86 IS - 3 PB - Kluwer Academic Publishers UR - https://www.numdam.org/item/CM_1993__86_3_317_0/ LA - en ID - CM_1993__86_3_317_0 ER -
%0 Journal Article %A Miquel, Vicente %A Palmer, Vicente %T Mean curvature comparison for tubular hypersurfaces in Kähler manifolds and some applications %J Compositio Mathematica %D 1993 %P 317-335 %V 86 %N 3 %I Kluwer Academic Publishers %U https://www.numdam.org/item/CM_1993__86_3_317_0/ %G en %F CM_1993__86_3_317_0
Miquel, Vicente; Palmer, Vicente. Mean curvature comparison for tubular hypersurfaces in Kähler manifolds and some applications. Compositio Mathematica, Tome 86 (1993) no. 3, pp. 317-335. https://www.numdam.org/item/CM_1993__86_3_317_0/
[Bo] , An Introduction to Differentiable Manifolds and Riemannian Geometry, Academic Press, New York, 1986. | Zbl | MR
[BC] and , Geometry of manifolds, Academic Press, New York, 1964. | Zbl | MR
[Cg] , Eigenvalue comparison theorems and its geometric applications, Math. Z. 143 (1975), 289-297. | Zbl | MR
[Ch] , Eigenvalues in Riemannian Geometry, Academic Press, New York, 1984. | Zbl | MR
[CV] and , Differential geometry of geodesic spheres, J. Reine Angew. Math. 325 (1981), 28-67. | Zbl | MR
[CY] and , A lower bound for the heat kernel, Comm. Pure Appl. Math. 34 (1981), 465-480. | Zbl | MR
[Dy] , Markov processes, Springer Verlag, 1965. | Zbl
[EH] and , Comparison theory for Riccati equations, Manuscripta Math. 68 (1990), 209-215. | Zbl | MR
[Ga] , Upper bounds for the first eigenvalue of the Laplace-Beltrami operator, Indiana Univ. Math. J. 29 (1980), 897-912. | Zbl | MR
[Gi1] , Comparison theorems for the volume of a complex submanifold of a Kähler manifold, Israel J. Math. 71 (1990), 239-255. | Zbl | MR
[Gi2] , Teoremas de comparacin en variedades Kählerianas," Tesis Doctoral. Departamento de Geometria y Topologia. Universidad de Valencia, 1990.
[Gr1] , Comparison theorems for the volumes of tubes as generalizations of the Weyl tube formula, Topology 21 (1982), 201-228. | Zbl | MR
[Gr2] , Volumes of tubes about complex submanifolds of complex projective space, Trans. Amer. Math. Soc. 291 (1985), 437-449. | Zbl | MR
[Gr3] , Tubes, Addison-Wesley, Reading, 1990. | Zbl | MR
[GKP] , and , The Mean Exit Time from a Tube in a Riemannian Manifold, in (1986), Probability Theory and Harmonic Analysis, edited by J. A. Chao and W. A. Woyczyński, Marcel Dekker, New York. | Zbl | MR
[GM1] and , Volume estimates for real hypersurfaces of a Kähler manifold with strictly positive holomorphic sectional and antiholomorphic Ricci curvatures, Pacific J. Math. 142 (1990), 23-39. | Zbl | MR
[GM2] and , Bounds for the first Dirichlet eigenvalue of domains in Kähler manifolds, Archiv der Math. 56 (1991), 370-375. | Zbl | MR
[GW] and , C∞ approximations of convex, subharmonic and plurisubharmonic functions, Ann. Sci. Ec. Nor. Sup. 12 (1979), 47-84. | Zbl | Numdam
[HK] and , A general comparison theorem with applications to volume estimates for submanifolds, Ann. Sci. Ec. Nor. Sup. 11 (1978), 451-470. | Zbl | MR | Numdam
[Ka] , Riemannian comparison constructions, in, Global Differential Geometry, edited by S. S. Chern, M.A.A., 1989, 170-222. | Zbl | MR
[Ki] , Real Hypersurfaces and complex manifolds in complex projective space, Trans. Am. Math. Soc. 296 (1986), 137-149. | Zbl | MR
[Ks] , On a lower bound for the first eigenvalue of the Laplace operator on a Riemannian manifold, Ann. Sci. Ec. Norm. Sup. 17 (1984), 31-44. | Zbl | MR | Numdam
[K-N] and , Foundations of Differential Geometry, Interscience, New York, 1969.
[Le] , Eigenvalue comparison for tubular domains, Proc. Am. Math. Soc. 109 (1990), 843-848. | Zbl | MR
[Ma] , On the heat kernel comparison theorems for minimal submanifolds, Proc. Amer. Math. Soc. 97 (1986), 479-482. | Zbl | MR
[MP] and , A comparison theorem for the mean exit time from a domain in a Kähler manifold, Ann. Global Anal. Geom, 10 (1992) 73-80. | Zbl | MR
[Na] , On the volume of positively curved Kähler manifolds, Osaka J. Math. 25 (1988), 223-231. | Zbl | MR
[Pa] , Un teorema de comparación para el tiempo de salida medio de una bola geodésica en una variedad Kähler, XV Jornadas Luso-espanholas de Matemática (1990) III, 173-178. | MR
[Ro] , Comparison Theorems for the Matrix Riccati Equation, Comm. on Pure and Applied Math. 41 (1988), 739-746. | Zbl | MR
[Sz] , The Lichnerowicz conjecture on Harmonic manifolds, J. Differential Geom. 31 (1990), 1-28. | Zbl | MR






