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The Order of Curvature Operators on Loop Groups

✍ Scribed by Andrés Larraín-Hubach


Publisher
Springer
Year
2009
Tongue
English
Weight
160 KB
Volume
89
Category
Article
ISSN
0377-9017

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De Rham–Hodge–Kodaira Operator on Loop G
✍ Shizan Fang; Jacques Franchi 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 376 KB

We consider a based loop group L e (G ) over a compact Lie group G, endowed with its pinned Wiener measure & (the law of the Brownian bridge on G) and we shall calculate the Ricci curvature for differential n-forms over L e (G ). A type of Bochner Weitzenbo ck formula for general differential n-form