| Title:
|
On mean value theorems for small geodesic spheres in Riemannian manifolds (English) |
| Author:
|
Kôzaki, Masanori |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
1992 |
| Pages:
|
519-547 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C25 |
| MSC:
|
60D05 |
| idZBL:
|
Zbl 0782.53038 |
| idMR:
|
MR1179316 |
| DOI:
|
10.21136/CMJ.1992.128352 |
| . |
| Date available:
|
2009-09-24T09:24:01Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128352 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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[4] D. M. DeTurck and J. L. Kazdan: Some regularity theorems in Riemannian geometry.Ann. Scient. Éc. Norm. Sup., 4$^{\text{e}}$ série 14 (1981), 249–260. MR 0644518 |
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[11] O. Kowalski: A comparison theorem for spherical mean-value operators in Riemannian manifolds.Proc. London Math. Soc. (3) 47 (1983), 1–14. Zbl 0519.53040, MR 0698924 |
| Reference:
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[12] M. Kôzaki and Y. Ogura: On geometric and stochastic mean values for small geodesic spheres in Riemannian manifolds.Tsukuba J. Math. 11 (1987), 131–145. MR 0899727, 10.21099/tkbjm/1496160508 |
| Reference:
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[13] M. Kôzaki and Y. Ogura: On the independence of exit time and exit position from small geodesic balls for Brownian motions on Riemannian manifolds.Math. Z. 197 (1988), 561–581. MR 0932686, 10.1007/BF01159812 |
| Reference:
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[14] M. Kôzaki and Y. Ogura: Riemannian manifolds with stochastic independence conditions are rich enough.Probability theory and Math. statistics (Kyoto 1986), pp. 206–213 vol. 1299, Springer, Berlin-Heidelberg-New York, 1988. MR 0935991 |
| Reference:
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[15] M. Liao: Hitting distributions of small geodesic spheres.Ann. Probability 16 (1988), 1039–1050. Zbl 0651.58037, MR 0942754, 10.1214/aop/1176991676 |
| Reference:
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| Reference:
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[17] M. Pinsky: Moyenne stochastique sur une variété riemannienne.C. R. Acad. Sci. Paris, Série I 292 (1981), 991–994. Zbl 0518.53046, MR 0630934 |
| Reference:
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[18] M. Pinsky: Brownian motion in a small geodesic ball.Asterique 132, Actes du Colloque Laurant Schwartz, 1985, pp. 89–101. MR 0816762 |
| Reference:
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[19] M. Pinsky: Independence implies Einstein metric, preprint.. |
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| Reference:
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| . |
