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An Introduction to the Analysis of Paths on a Riemannian Manifold
About this Title
Daniel W. Stroock, Massachusetts Institute of Technology, Cambridge, MA
Publication: Mathematical Surveys and Monographs
Publication Year:
2000; Volume 74
ISBNs: 978-0-8218-3839-6 (print); 978-1-4704-1301-9 (online)
DOI: https://doi.org/10.1090/surv/074
MathSciNet review: MR1715265
MSC: Primary 60J65; Secondary 58J65, 60H10, 60J60
Table of Contents
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Front/Back Matter
Chapters
- 1. Brownian motion in Euclidean space
- 2. Diffusions in Euclidean space
- 3. Some addenda, extensions, and refinements
- 4. Doing it on a manifold, an extrinsic approach
- 5. More about extrinsic Riemannian geometry
- 6. Bochner’s identity
- 7. Some intrinsic Riemannian geometry
- 8. The bundle of orthonormal frames
- 9. Local analysis of Brownian motion
- 10. Perturbing Brownian paths