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Abstract
We investigate the curvature of the Grassmann manifold along planes tangent to the Grassmann image of two-dimensional time-like minimal surfaces in four-dimensional Minkowski space. We establish the existence of two-dimensional time-like minimal surfaces whose Grassmann images exhibit constant curvature K=1. Furthermore, we demonstrate that no time-like minimal surfaces exist with a non-degenerate Grassmann image of constant curvature K≠1.
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