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math.DG2026
The Hopf conjecture with -symmetry
Jan Nienhaus, Dennis Wulle
We prove that any closed even-dimensional manifold with positive sectional curvature admitting an isometric action by a 3-torus has positive Euler characteristic. We also prove the…
math.DG2026
Fixed Point Homogeneous Orbifolds with Positive Sectional Curvature
Jan Nienhaus, Dennis Wulle
We classify fixed point homogeneous Riemannian orbifolds with positive sectional curvature up to equivariant diffeomorphism. As a corollary we obtain a classification of positively…