caa a22 4500 46911746X CHVBK 20180323133128.0 cr unu---uuuuu 170328e19920301xx s 000 0 eng 10.1007/BF02921386 doi (NATIONALLICENCE)springer-10.1007/BF02921386 Gilkey Peter Mathematics Department, University of Oregon, 97403, Eugene, OR, USA aut Manifolds whose higher odd order curvature operators have constant eigenvalues at the basepoint [Elektronische Daten] [Peter Gilkey] LetR k be the higher-order curvature operator of a Riemannian manifoldM. IfR k has constant eigenvalues at the basepointP ofM for all oddk, then all the odd covariant derivatives of the curvature tensor vanish atP. If the metric is real analytic, the geodesic involution is a local isometry atP. Mathematica Josephina, Inc., 1992 Curvature operator nationallicence Osserman conjecture nationallicence The Journal of Geometric Analysis Springer-Verlag 2/2(1992-03-01), 151-156 1050-6926 2:2<151 1992 2 12220 https://doi.org/10.1007/BF02921386 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02921386 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gilkey Peter Mathematics Department, University of Oregon, 97403, Eugene, OR, USA aut NATIONALLICENCE 773 0- The Journal of Geometric Analysis Springer-Verlag 2/2(1992-03-01), 151-156 1050-6926 2:2<151 1992 2 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer