These papers on pure and applied differential geometry cover submanifold theory, affine differential geometry and applications of geometry in engineering sciences. They were presented at a conference dedicated to Professor Katsumi Nomizu, and papers on his scientific life are included.

Reflections on some differential geometric work of Katsumi Nomizu, P. Dombrowski; the influence of Katsumi Nomizu on affine differential geometry, U. Simon; opportunities and indebtedness, K. Nomizu; almost symplectic and almost complex structures, T. Willmore; on the metric structure of non-negatively curved manifolds, G. Walschap; from differential geometry through arrangements of hyper-planes to matrices over Z2 and back, A. West; oscillator and pendulum equation on pseudo-Riemannian manifolds, and conformal vector fields, W. Kuhnel and H.-B. Rademacher; pseudo Riemannian metrics with signature type change, M. Kriele and M. Kossowski; some obstructions to slant immersions, B.-Y. Chen; on harmonic 2-spheres in S4, J. Bolton and L.M. Woodward.