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Anton Petrunin's Projects

geodesic-in-bry icon geodesic-in-bry

"About every convex set in any generic Riemannian manifold" by Alexander Lytchak and Anton Petrunin

graph-alexandrov icon graph-alexandrov

"Graph comparison meets Alexandrov" by Nina Lebedeva and Anton Petrunin

homogen icon homogen

"All-set-homogeneous spaces" by Nina Lebedeva and Anton Petrunin

intrinsic-isometries icon intrinsic-isometries

On intrinsic isometries to Euclidean space / Внутренние изометрии в евклидово пространство

invitation icon invitation

"An invitation to Alexandrov geometry: CAT(0) spaces" by S. Alexander, V. Kapovitch, and A. Petrunin

kirszbraun icon kirszbraun

"Alexandrov meets Kirszbraun" by Stephanie Alexander, Vitali Kapovitch and Anton Petrunin

kiselyov icon kiselyov

Геометрия по Киселёву

lagunov-fet-1963 icon lagunov-fet-1963

Extremal problems for surfaces of prescribed topological type (1) V. N. Lagunov, A. I. Fet (translated by Richard L. Bishop)

long-geodesic icon long-geodesic

"Long geodesics on convex surfaces" by Arseniy Akopyan and Anton Petrunin

metric-min icon metric-min

Metric minimzing surfaces revisited by Anton Petrunin and Stephan Stadler

mmm icon mmm

"Metric-measure boundary and geodesic flow on Alexandrov spaces" by Kapovitch, Lytchak and Petrunin

moon icon moon

"Moon in a puddle and the four-vertex theorem" by Anton Petrunin, Sergio Zamora Barrera (with artwork by Ana Cristina Chávez Cáliz)

poly icon poly

"Polyhedral approximations of Riemannian manifolds" by A. Petrunin

puzzles icon puzzles

PIGTIKAL (puzzles in geometry that I know and love)

quadruples icon quadruples

В поисках пятиточечного условия Александровского типа

realanal icon realanal

Corrections to "Basic Analysis" by Jiří Lebl

rotations icon rotations

"On the total curvature of minimizing geodesics on convex surfaces" by Nina Lebedeva and Anton Petrunin

rukshin icon rukshin

Уникальносоставленные фигуры, А. М. Петрунин и С. Е. Рукшин.

saddle-disc icon saddle-disc

Monotonicity of saddle maps, by Anton Petrunin and Stephan Stadler

smooth-pl icon smooth-pl

"Smoothing 3-dimensional polyhedral spaces" by Nina Lebedeva, Vladimir Matveev, Anton Petrunin, and Vsevolod Shevchishin

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