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On existence and comparison of conjugate points in Riemannian and Lorentzian geometry

✍ Scribed by D. N. Kupeli


Publisher
Springer
Year
1986
Tongue
English
Weight
683 KB
Volume
276
Category
Article
ISSN
0025-5831

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We shall establish in the context of adapted differential geometry on the path space P mo (M) a WeitzenbΓΆck 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