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Name: Anton Petrunin
Type: User
Company: Penn State
Bio: Geometer.
Location: State College, PA, USA
Name: Anton Petrunin
Type: User
Company: Penn State
Bio: Geometer.
Location: State College, PA, USA
"Self-crossing geodesics" by A. Petrunin
"About every convex set in any generic Riemannian manifold" by Alexander Lytchak and Anton Petrunin
"Graph comparison meets Alexandrov" by Nina Lebedeva and Anton Petrunin
Extra pearls in graph theory
"All-set-homogeneous spaces" by Nina Lebedeva and Anton Petrunin
On intrinsic isometries to Euclidean space / Внутренние изометрии в евклидово пространство
"An invitation to Alexandrov geometry: CAT(0) spaces" by S. Alexander, V. Kapovitch, and A. Petrunin
"Alexandrov meets Kirszbraun" by Stephanie Alexander, Vitali Kapovitch and Anton Petrunin
Геометрия по Киселёву
Extremal problems for surfaces of prescribed topological type (1) V. N. Lagunov, A. I. Fet (translated by Richard L. Bishop)
"Long geodesics on convex surfaces" by Arseniy Akopyan and Anton Petrunin
"Lectures on metric geometry" by Anton Petrunin
Metric minimzing surfaces revisited by Anton Petrunin and Stephan Stadler
Correction to: Metric minimizing surfaces
"Metric-measure boundary and geodesic flow on Alexandrov spaces" by Kapovitch, Lytchak and Petrunin
"Moon in a puddle and the four-vertex theorem" by Anton Petrunin, Sergio Zamora Barrera (with artwork by Ana Cristina Chávez Cáliz)
"Trees meet octahedron comparison" by Nina Lebedeva and Anton Petrunin
"Polyhedral approximations of Riemannian manifolds" by A. Petrunin
Proof of the existence of nets of stretched polyhedra.
PIGTIKAL (puzzles in geometry that I know and love)
В поисках пятиточечного условия Александровского типа
Corrections to "Basic Analysis" by Jiří Lebl
Short retraction in CAT(1) space
"On the total curvature of minimizing geodesics on convex surfaces" by Nina Lebedeva and Anton Petrunin
Уникальносоставленные фигуры, А. М. Петрунин и С. Е. Рукшин.
Monotonicity of saddle maps, by Anton Petrunin and Stephan Stadler
"Smoothing 3-dimensional polyhedral spaces" by Nina Lebedeva, Vladimir Matveev, Anton Petrunin, and Vsevolod Shevchishin
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