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Some Remarks on Fields of 2-Planes on Compact Smooth 4-Manifolds

Some Remarks on Fields of 2-Planes on Compact Smooth 4-Manifolds

Throughout this paper by a manifold we mean a compact oriented smooth manifold, and by a field of q-planes on a manifold a nonsingular field of oriented tangent q-planes on it.It is interesting to observe, as a specific feature in four dimension, that same are the conditions for a 4-manifold …