Approximate Stolz angle limits

Approximate Stolz Angle Limits

Circle Bundles and the Kreck-Stolz Invariant

We present a direct analytic calculation of the s-invariant of KreckStolz for circle bundles, by evaluating the adiabatic limits of I invariants. We believe that this method should have wider applications.

Kreck-stolz Invariants for Quaternionic Line Bundles

We generalise the Kreck-Stolz invariants s2 and s3 by defining a new invariant, the t-invariant, for quaternionic line bundles E over closed spinmanifolds M of dimension 4k−1 with H3(M ;Q) = 0 such that c2(E) ∈ H4(M) is torsion. The t-invariant classifies closed smooth oriented 2-connected rational homology 7-spheres up to almost-diffeomorphism, that is, diffeomorphism up to a connected sum wit...

" Approximate Formula of Weak Oblique Shock Wave Angle "

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Catadioptric Sensors that Approximate Wide-Angle Perspective Projections

We present two families of reflective surfaces that are capable of providing a wide field of view, and yet still approximate a perspective projection to a high degree. These surfaces are derived by considering a plane perpendicular to the axis of a surface of revolution and finding the equations governing the distortion of the image of the plane in this surface. We then view this relation as a ...