Universität zu Köln

2022

Kapovitch, Vitali and Lytchak, Alexander (2022). The structure of submetries. Geom. Topol., 26 (6). S. 2649 - 2712. COVENTRY: GEOMETRY & TOPOLOGY PUBLICATIONS. ISSN 1364-0380

Lytchak, Alexander and Nagano, Koichi (2022). Topological regularity of spaces with an upper curvature bound. J. Eur. Math. Soc., 24 (1). S. 137 - 166. BERLIN: EUROPEAN MATHEMATICAL SOC-EMS. ISSN 1435-9855

Lytchak, Alexander and Petrunin, Anton (2022). About every convex set in any generic Riemannian manifold. J. Reine Angew. Math., 2022 (782). S. 235 - 246. BERLIN: WALTER DE GRUYTER GMBH. ISSN 1435-5345

2021

Kapovitch, Vitali and Lytchak, Alexander (2021). Remarks on Manifolds with Two-Sided Curvature Bounds. Anal. Geom. Metr. Spaces, 9 (1). S. 53 - 65. WARSAW: DE GRUYTER POLAND SP Z O O. ISSN 2299-3274

Kapovitch, Vitali, Lytchak, Alexander and Petrunin, Anton (2021). Metric-measure boundary and geodesic flow on Alexandrov spaces. J. Eur. Math. Soc., 23 (1). S. 29 - 63. BERLIN: EUROPEAN MATHEMATICAL SOC-EMS. ISSN 1435-9855

Lytchak, Alexander and Petrunin, Anton ORCID: 0000-0003-3053-5172 (2021). SHORT RETRACTIONS OF CAT(1) SPACES. Proc. Amer. Math. Soc., 149 (3). S. 1247 - 1258. PROVIDENCE: AMER MATHEMATICAL SOC. ISSN 1088-6826

2020

Lytchak, Alexander and Stadler, Stephan (2020). IMPROVEMENTS OF UPPER CURVATURE BOUNDS. Trans. Am. Math. Soc., 373 (10). S. 7153 - 7167. PROVIDENCE: AMER MATHEMATICAL SOC. ISSN 1088-6850

Lytchak, Alexander and Wenger, Stefan ORCID: 0000-0003-3645-105X (2020). CANONICAL PARAMETERIZATIONS OF METRIC DISKS. Duke Math. J., 169 (4). S. 761 - 798. DURHAM: DUKE UNIV PRESS. ISSN 1547-7398

Lytchak, Alexander, Wenger, Stefan ORCID: 0000-0003-3645-105X and Young, Robert (2020). Dehn functions and Holder extensions in asymptotic cones. J. Reine Angew. Math., 763. S. 79 - 110. BERLIN: WALTER DE GRUYTER GMBH. ISSN 1435-5345

2019

Ivanov, Sergei and Lytchak, Alexander (2019). Rigidity of Busemann convex Finsler metrics. Comment. Math. Helv., 94 (4). S. 855 - 869. ZURICH: EUROPEAN MATHEMATICAL SOC. ISSN 1420-8946

Lytchak, Alexander and Nagano, Koichi (2019). Geodesically complete spaces with an upper curvature bound. Geom. Funct. Anal., 29 (1). S. 295 - 343. BASEL: SPRINGER BASEL AG. ISSN 1420-8970

Lytchak, Alexander and Stadler, Stephan (2019). Conformal deformations of CAT(0) spaces. Math. Ann., 373 (1-2). S. 155 - 164. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1432-1807

2018

Lytchak, Alexander and Radeschi, Marco (2018). Algebraic nature of singular Riemannian foliations in spheres. J. Reine Angew. Math., 744. S. 265 - 274. BERLIN: WALTER DE GRUYTER GMBH. ISSN 1435-5345

Lytchak, Alexander and Wenger, Stefan ORCID: 0000-0003-3645-105X (2018). Intrinsic structure of minimal discs in metric spaces. Geom. Topol., 22 (1). S. 591 - 645. COVENTRY: GEOMETRY & TOPOLOGY PUBLICATIONS. ISSN 1364-0380

Lytchak, Alexander and Wenger, Stefan ORCID: 0000-0003-3645-105X (2018). Isoperimetric characterization of upper curvature bounds. Acta Math., 221 (1). S. 159 - 203. SOMERVILLE: INT PRESS BOSTON, INC. ISSN 1871-2509

2017

Gorodski, Claudio and Lytchak, Alexander (2017). The curvature of orbit spaces. Geod. Dedic., 190 (1). S. 135 - 143. DORDRECHT: SPRINGER. ISSN 1572-9168

Lytchak, Alexander and Wenger, Stefan ORCID: 0000-0003-3645-105X (2017). Area Minimizing Discs in Metric Spaces. Arch. Ration. Mech. Anal., 223 (3). S. 1123 - 1183. NEW YORK: SPRINGER. ISSN 1432-0673

Lytchak, Alexander and Wenger, Stefan ORCID: 0000-0003-3645-105X (2017). Energy and area minimizers in metric spaces. Adv. Calc. Var., 10 (4). S. 407 - 422. BERLIN: WALTER DE GRUYTER GMBH. ISSN 1864-8266

2016

Gorodski, Claudio and Lytchak, Alexander (2016). Isometric actions on spheres with an orbifold quotient. Math. Ann., 365 (3-4). S. 1041 - 1068. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1432-1807

Lytchak, Alexander and Wenger, Stefan ORCID: 0000-0003-3645-105X (2016). Regularity of harmonic discs in spaces with quadratic isoperimetric inequality. Calc. Var. Partial Differ. Equ., 55 (4). HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1432-0835

Lytchak, Alexander and Wilking, Burkhard (2016). Riemannian foliations of spheres. Geom. Topol., 20 (3). S. 1257 - 1275. COVENTRY: GEOMETRY & TOPOLOGY PUBLICATIONS. ISSN 1364-0380

2015

Florit, Luis, Goertsches, Oliver, Lytchak, Alexander and Toeben, Dirk (2015). Riemannian foliations on contractible manifolds. Muenster J. Math., 8 (1). S. 1 - 17. MUENSTER: WESTFAELISCHE WILHELMS-UNIV MUENSTER, MATH INST. ISSN 1867-5786

Gorodski, Claudio and Lytchak, Alexander (2015). REPRESENTATIONS WHOSE MINIMAL REDUCTION HAS A TORIC IDENTITY COMPONENT. Proc. Amer. Math. Soc., 143 (1). S. 379 - 387. PROVIDENCE: AMER MATHEMATICAL SOC. ISSN 1088-6826

2014

Gorodski, Claudio and Lytchak, Alexander (2014). On orbit spaces of representations of compact Lie groups. J. Reine Angew. Math., 691. S. 61 - 101. BERLIN: WALTER DE GRUYTER GMBH. ISSN 1435-5345

Lytchak, Alexander (2014). Polar Foliations of Symmetric Spaces. Geom. Funct. Anal., 24 (4). S. 1298 - 1316. BASEL: SPRINGER BASEL AG. ISSN 1420-8970

2013

Lytchak, Alexander (2013). ON CONTRACTIBLE ORBIFOLDS. Proc. Amer. Math. Soc., 141 (9). S. 3303 - 3305. PROVIDENCE: AMER MATHEMATICAL SOC. ISSN 1088-6826