De Rham–Hodge–Kodaira Operator on Loop G
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Shizan Fang; Jacques Franchi
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Article
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1997
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Elsevier Science
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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