Karcher, H. Riemannian center of mass and mollifier smoothing. (English) Zbl 0354.57005 Commun. Pure Appl. Math. 30, 509-541 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 226 Documents MSC: 57S15 Compact Lie groups of differentiable transformations 34A40 Differential inequalities involving functions of a single real variable 53C20 Global Riemannian geometry, including pinching 57S25 Groups acting on specific manifolds 58D15 Manifolds of mappings PDF BibTeX XML Cite \textit{H. Karcher}, Commun. Pure Appl. Math. 30, 509--541 (1977; Zbl 0354.57005) Full Text: DOI References: [1] On Jacobi Fields: [2] Berger, Illinois J. of Math. 6 pp 700– (1962) [3] and , Geometry of Manifolds, Academic Press, New York, 1964. [4] , and , Riemannsche Geometrie im GroBen, Lecture Notes in Mathematics 55, Springer, Berlin-Heidelberg-New York, 1975. · Zbl 0293.53001 · doi:10.1007/BFb0079185 [5] Rauch, Ann. of Math. 54 pp 38– (1951) [6] On the Center of Mass: [7] Grove, Proc. AMS 54 pp 352– (1976) [8] Grove, Math. Z. 132 pp 11– (1973) [9] Grove, Math. Ann. 211 pp 7– (1974) [10] and , Foundations of Differential Geometry, Vol. II, Interscience Publishers, New York-London-Sydney, 1969. [11] On Riemannian Mollifiers: [12] and , A generalized sphere theorem, Preprint Series No. 23, Kopenhavens Universitet, Matematisk Institut, 1975. [13] Karcher, Manuscripta Math. 6 pp 53– (1972) [14] Nonlinear Functional Analysis, Gordon & Breach Science Publishers, New York-London-Paris, 1969. [15] Shikata, Osaka J. Math. 3 pp 65– (1966) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.