A class of spaces of complex tight frames in Stiefel manifolds are simply connected, including finite unit-norm tight frames.
Waldron, An Introduction to Finite Tight Frames, Applied and Numerical Harmonic Analysis, Birkh¨ auser/Springer, New York
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Simply connectedness of spaces of tight frames
A class of spaces of complex tight frames in Stiefel manifolds are simply connected, including finite unit-norm tight frames.