Key Phrases - Statistically Improbable Phrases (SIPs):
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harmonic manifolds, symmetric connector, geodesic vector field, geodesic loop, conjugate locus, integral cohomology ring, vector bundle map, periodic geodesic, vertical subbundle, first conjugate point, unit tangent bundle, exotic sphere, whose geodesics, compact symmetric spaces, geodesic flow, first variation formula, canonical measure, wave front sets, sectional curvature, antipodal map, cut locus, natural coordinate system, totally geodesic submanifold, polar line, standard sphere
Key Phrases - Capitalized Phrases (CAPs):
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Clairaut's First Integral, The Spectrum of P-Manifolds, Blaschke Riemannian, Characterization of P-Metrics of Revolution, Foliations With All Leaves Compact
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