Summary
Total curvatures of boundaries of geodesic disks in Riemannian manifolds are investigated. The first terms in the corresponding power series expansions are obtained for the total scalar curvature and the L 2-norms of the scalar curvature, the Ricci tensor and the curvature tensor. As an application, it is shown that these functions characterize the local geometry of most of the two-point homogeneous spaces.
Supported by projects BFM2001-3778-C03-01 and BFM 2003-02949 (Spain)
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Dedicated to Professor Lieven Vanhecke
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© 2005 Birkhäuser Boston
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Díaz-Ramos, J.C., García-Río, E., Hervella, L. (2005). Total Scalar Curvatures of Geodesic Spheres and of Boundaries of Geodesic Disks. In: Kowalski, O., Musso, E., Perrone, D. (eds) Complex, Contact and Symmetric Manifolds. Progress in Mathematics, vol 234. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4424-5_9
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DOI: https://doi.org/10.1007/0-8176-4424-5_9
Publisher Name: Birkhäuser Boston
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