On mean value theorems for small geodesic spheres in Riemannian manifolds
Czechoslovak Mathematical Journal (1992)
- Volume: 42, Issue: 3, page 519-547
- ISSN: 0011-4642
Access Full Article
topHow to cite
topKôzaki, Masanori. "On mean value theorems for small geodesic spheres in Riemannian manifolds." Czechoslovak Mathematical Journal 42.3 (1992): 519-547. <http://eudml.org/doc/31299>.
@article{Kôzaki1992,
author = {Kôzaki, Masanori},
journal = {Czechoslovak Mathematical Journal},
keywords = {geodesic spheres; stochastic mean value operator; harmonic spaces; Einstein spaces; curvature tensor},
language = {eng},
number = {3},
pages = {519-547},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On mean value theorems for small geodesic spheres in Riemannian manifolds},
url = {http://eudml.org/doc/31299},
volume = {42},
year = {1992},
}
TY - JOUR
AU - Kôzaki, Masanori
TI - On mean value theorems for small geodesic spheres in Riemannian manifolds
JO - Czechoslovak Mathematical Journal
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 42
IS - 3
SP - 519
EP - 547
LA - eng
KW - geodesic spheres; stochastic mean value operator; harmonic spaces; Einstein spaces; curvature tensor
UR - http://eudml.org/doc/31299
ER -
References
top- 10.1214/aop/1176996886, Ann. Probability 1 (1973), 570–579. (1973) MR0348847DOI10.1214/aop/1176996886
- Manifolds all of whose Geodesics are Closed, Springer-Verlag, Berlin Heidelberg New York, 1978. (1978) Zbl0387.53010MR0496885
- 10.4310/jdg/1214442277, J. Differential Geometry 28 (1988), 187–202. (1988) Zbl0654.53053MR0961513DOI10.4310/jdg/1214442277
- Some regularity theorems in Riemannian geometry, Ann. Scient. Éc. Norm. Sup., 4 série 14 (1981), 249–260. (1981) MR0644518
- Markov Processes, vol. 2, Springer-Verlag, Berlin Heidelberg New York, 1965. (1965) MR0193671
- 10.1090/S0002-9947-1961-0131839-8, Transactions Amer. Math. Soc. 101 (1961), 240–258. (1961) Zbl0115.39204MR0131839DOI10.1090/S0002-9947-1961-0131839-8
- The mean exit time from a small geodesic ball in a Riemannian manifold, Bulletin des Sciences Mathematiques, 2 série 107 (1983), 345–370. (1983) MR0732357
- 10.1007/BF02395060, Acta Math. 142 (1979), 157–198. (1979) MR0521460DOI10.1007/BF02395060
- Mean-value theorems for Riemannian manifolds, Proc. Roy. Soc. Edinburgh 92A (1982), 343–364. (1982) MR0677493
- The second mean-value operator on Riemannian manifolds, Proceedings of the CSSR-GDR-Polish Conference on Differential Geometry and its Applications, Nove Mesto 1980, pp. 33–45, Universita Karlova, Praha, 1982. (1982) MR0663211
- A comparison theorem for spherical mean-value operators in Riemannian manifolds, Proc. London Math. Soc. (3) 47 (1983), 1–14. (1983) Zbl0519.53040MR0698924
- 10.21099/tkbjm/1496160508, Tsukuba J. Math. 11 (1987), 131–145. (1987) MR0899727DOI10.21099/tkbjm/1496160508
- 10.1007/BF01159812, Math. Z. 197 (1988), 561–581. (1988) MR0932686DOI10.1007/BF01159812
- 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. (1988) MR0935991
- 10.1214/aop/1176991676, Ann. Probability 16 (1988), 1039–1050. (1988) Zbl0651.58037MR0942754DOI10.1214/aop/1176991676
- A class of critical Riemannian metrics, J. London Math. Soc. 23 (1981), no. 2, 349–358. (1981) Zbl0417.53025MR0609115
- Moyenne stochastique sur une variété riemannienne, C. R. Acad. Sci. Paris, Série I 292 (1981), 991–994. (1981) Zbl0518.53046MR0630934
- Brownian motion in a small geodesic ball, Asterique 132, Actes du Colloque Laurant Schwartz, 1985, pp. 89–101. (1985) MR0816762
- Independence implies Einstein metric, preprint, .
- 10.2748/tmj/1178242547, Tôhoku Math. J. 23 (1971), 589–603. (1971) Zbl0237.53040MR0303465DOI10.2748/tmj/1178242547
- 10.2996/kmj/1138037204, Kodai Math. J. 9 (1986), 215–224. (1986) MR0842869DOI10.2996/kmj/1138037204
- 10.1112/jlms/s1-25.1.54, J. London Math. Soc. 25 (1950), 54–57. (1950) Zbl0036.23403MR0033408DOI10.1112/jlms/s1-25.1.54
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.