We shall establish in the context of adapted differential geometry on the path space P mo (M) a Weitzenbรถck formula which generalizes that in (A. B. Cruzeiro and P. Malliavin, J. Funct. Anal. 177 (2000), 219-253), without hypothesis on the Ricci tensor. The renormalized Ricci tensor will be vanished
โฆ LIBER โฆ
Conformal Deformations and Extremal Paths in the Space of RIEMANNIan Metrics
โ Scribed by Paul Ewing Ehrlich
- Publisher
- John Wiley and Sons
- Year
- 1976
- Tongue
- English
- Weight
- 259 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
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## Abstract We investigate the asymptotic behavior of global solutions for nonlinear Schrรถdinger equation with a defocusing exponential nonlinearity in two space dimensions. We prove that any (global) solution approaches a unique free Schrรถdinger solution at the time infinity in the conformal space