The length of the shortest closed geodesic on positively curved 2-spheres
Sign Up to like & getrecommendations! Published in 2021 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-021-02875-8
Abstract: We show that the shortest closed geodesic on a 2-sphere with non-negative curvature has length bounded above by three times the diameter. We prove a new isoperimetric inequality for 2-spheres with pinched curvature; this allows… read more here.
Keywords: shortest closed; curved spheres; geodesic positively; length shortest ... See more keywords
Rigidity for positively curved Alexandrov spaces with boundary
Sign Up to like & getrecommendations! Published in 2018 at "Geometriae Dedicata"
DOI: 10.1007/s10711-020-00582-y
Abstract: Inspired by a recent work of Grove and Petersen (Alexandrov spaces with maximal radius, 2018), where the authors studied positively curved Alexandrov spaces with largest possible boundary, namely the round sphere, we study Alexandrov spaces… read more here.
Keywords: curved alexandrov; rigidity positively; alexandrov spaces; positively curved ... See more keywords
Human ESCRT-III polymers assemble on positively curved membranes and induce helical membrane tube formation
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DOI: 10.1038/s41467-020-16368-5
Abstract: Endosomal sorting complexes for transport-III (ESCRT-III) assemble in vivo onto membranes with negative Gaussian curvature. How membrane shape influences ESCRT-III polymerization and how ESCRT-III shapes membranes is yet unclear. Human core ESCRT-III proteins, CHMP4B, CHMP2A,… read more here.
Keywords: escrt iii; positively curved; membrane; assemble positively ... See more keywords
Homogeneous Finsler spaces and the flag-wise positively curved condition
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DOI: 10.1515/forum-2018-0130
Abstract: In this paper, we introduce the flag-wise positively curved condition for Finsler spaces (the (FP) condition), which means that in each tangent plane, there exists a flag pole in this plane such that the corresponding… read more here.
Keywords: wise positively; homogeneous finsler; condition; finsler ... See more keywords