Über metrisch homogene räume

Two-point homogeneous spaces

Wang, H.-C. (1952) · The Annals of Mathematics · doi:10.2307/1969427 · Cited by 228

Topology of Lie groups

Samelson, H. (1952) · Bulletin of the American Mathematical Society · doi:10.1090/s0002-9904-1952-09544-6 · Cited by 219

Invariant distances on complex manifolds and holomorphic mappings

Kobayashi, S. (1967) · Journal of the Mathematical Society of Japan · doi:10.2969/jmsj/01940460 · Cited by 128

Parallelizability of proper actions, globalK-slices and maximal compact subgroups

Abels, H. (1974) · Mathematische Annalen · doi:10.1007/bf01343976 · Cited by 110

Homogeneous Finsler Spaces

Deng, S. (2012) · Springer monographs in mathematics · doi:10.1007/978-1-4614-4244-8 · Cited by 103

Reelle Transformationsgruppen und invariante Metriken auf komplexen R�umen

Kaup, W. (1967) · Inventiones mathematicae · doi:10.1007/bf01425490 · Cited by 91

Proper actions and pseudo—Riemannian space forms

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Decomposing locally compact groups into simple pieces

Caprace, P., & Monod, N. (2010) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004110000368 · Cited by 74

Zur topologischen Algebra

van Dantzig, D. (1933) · Mathematische Annalen · doi:10.1007/bf01448911 · Cited by 59

Homogeneous weak solenoids

Fokkink, R., & Oversteegen, L. G. (2002) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-02-03017-9 · Cited by 36

Metrically invariant measures on locally homogeneous spaces and hyperspaces

Bandt, C., & Baraki, G. (1986) · Pacific Journal of Mathematics · doi:10.2140/pjm.1986.121.13 · Cited by 35

The Isometry Group of an RCD ∗ Space is Lie

Sosa, G. (2017) · Potential Analysis · doi:10.1007/s11118-017-9656-4 · Cited by 25

The Automorphism Group of a Geometric Structure

Chu, H., & Kobayashi, S. (1964) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-1964-0164299-4 · Cited by 24

Hyperbolic 2–dimensional manifolds with 3–dimensional automorphism group

Isaev, A. (2008) · Geometry & Topology · doi:10.2140/gt.2008.12.643 · Cited by 23

On the isometry group of $$RCD^*(K,N)$$ R C D ∗ ( K , N ) -spaces

Guijarro, L., & Santos-Rodríguez, J. (2018) · manuscripta mathematica · doi:10.1007/s00229-018-1010-7 · Cited by 22

Measures on Algebraic-Topological Structures

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Proper actions and proper invariant metricsPreprint

Abels, H., Manoussos, A., & Носков, Г. А. (2008) · Cited by 21

Cohomogeneity one topological manifolds revisited

Galaz‐García, F., & Zarei, M. (2017) · Mathematische Zeitschrift · doi:10.1007/s00209-017-1915-y · Cited by 20

Metrically homogeneous spaces

Богатый, С. А. (2002) · Russian Mathematical Surveys · doi:10.1070/rm2002v057n02abeh000495 · Cited by 20

From homogeneous metric spaces to Lie groups

Cowling, M., Kivioja, V., Donne, E. L., Golo, S. N., & Ottazzi, A. (2024) · Comptes Rendus Mathématique · doi:10.5802/crmath.608 · Cited by 19

Chapter 9 Ergodic theory and dynamics of G-spaces (with special emphasis on rigidity phenomena)

Feres, R., & Katok, A. (2002) · Handbook of dynamical systems · doi:10.1016/s1874-575x(02)80011-x · Cited by 15

Note on the Group of Affine Transformations of an Affinely Connected Manifold

Hano, J.-I., & Morimoto, A. (1955) · Nagoya Mathematical Journal · doi:10.1017/s0027763000023187 · Cited by 14

The Kobayashi pseudodistance on almost complex manifoldsPreprint

Kruglikov, B., & Overholt, M. (1997) · arXiv (Cornell University) · doi:10.48550/arxiv.dg-ga/9703005 · Cited by 14

Closed three-dimensional alexandrov spaces with isometric circle actions

Zimbrón, J. Á. N. (2015) · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · Cited by 12

Closed three-dimensional Alexandrov spaces with isometric circle actions

Núñez-Zimbrón, J. (2018) · Tohoku Mathematical Journal · doi:10.2748/tmj/1527904822 · Cited by 11

Weakly Symmetric Finsler Spaces

Deng, S. (2012) · Springer monographs in mathematics · doi:10.1007/978-1-4614-4244-8_6 · Cited by 10

The Gromov-Hausdorff hyperspace of a Euclidean space

Antonyan, S. A. (2020) · Advances in Mathematics · doi:10.1016/j.aim.2020.106977 · Cited by 10

On Lipschitz Homogeneity of the Hilbert Cube

Hohti, A. (1985) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-1985-0797046-7 · Cited by 10

A local version of the Myers–Steenrod theorem

Pediconi, F. (2020) · Bulletin of the London Mathematical Society · doi:10.1112/blms.12367 · Cited by 9

Homogeneous Randers Spaces

Deng, S. (2012) · Springer monographs in mathematics · doi:10.1007/978-1-4614-4244-8_7 · Cited by 7

Proper actions of high-dimensional groups on complex manifolds

Isaev, A. (2015) · Bulletin of Mathematical Sciences · doi:10.1007/s13373-015-0069-7 · Cited by 7

Cartan actions of higher rank abelian groups and their classification

Spatzier, R. J., & Vinhage, K. (2023) · Journal of the American Mathematical Society · doi:10.1090/jams/1033 · Cited by 7

On the construction of non-invertible minimal skew products

Dirbák, M., & Maličký, P. (2010) · Journal of Mathematical Analysis and Applications · doi:10.1016/j.jmaa.2010.09.042 · Cited by 7

Actions by isometries

Strantzalos, P. (1989) · Lecture notes in mathematics · doi:10.1007/bfb0085620 · Cited by 7

Bounded Isometries and Homogeneous Quotients

Wolf, J. A. (2016) · Journal of Geometric Analysis · doi:10.1007/s12220-015-9672-9 · Cited by 6

Cohomogeneity one Alexandrov spaces in low dimensions

Galaz‐García, F., & Zarei, M. (2020) · Annals of Global Analysis and Geometry · doi:10.1007/s10455-020-09716-7 · Cited by 5

A glance at three-dimensional Alexandrov spaces

Galaz‐García, F. (2016) · Frontiers of Mathematics · doi:10.1007/s11464-016-0582-3 · Cited by 5

Proper actions of high-dimensional groups on complex manifolds

Isaev, A. (2007) · Journal of Geometric Analysis · doi:10.1007/bf02937432 · Cited by 5

Introduction to Finsler Geometry

Deng, S. (2012) · Springer monographs in mathematics · doi:10.1007/978-1-4614-4244-8_1 · Cited by 5

Isometry groups of proper metric spaces

Niemiec, P. (2013) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-2013-05941-7 · Cited by 4

Метрически однородные пространства

Богатый, С. А. (2002) · Успехи математических наук · doi:10.4213/rm495 · Cited by 4

Hyperbolic manifolds with high-dimensional automorphism group

Isaev, A. V. (2006) · Proceedings of the Steklov Institute of Mathematics · doi:10.1134/s0081543806020192 · Cited by 4

Sur des hypersurfaces et quelques groupes d'isométries d'un espace riemannien

Nagano, T. (1958) · Tohoku Mathematical Journal · doi:10.2748/tmj/1178244662 · Cited by 4

Lifting isometries of orbit spaces

Mendes, R. A. E. (2021) · Bulletin of the London Mathematical Society · doi:10.1112/blms.12514 · Cited by 3

Three-Dimensional Alexandrov Spaces: A Survey

Galaz‐García, F., & Núñez‐Zimbrón, J. (2022) · CIMAT lectures in mathematical sciences · doi:10.1007/978-3-030-99298-9_2 · Cited by 3

The Riemannian manifolds with boundary and large symmetry

Chen, Z., Shi, Y., & Xu, B. (2010) · Chinese Annals of Mathematics Series B · doi:10.1007/s11401-009-0037-1 · Cited by 3

Myers-Steenrod Theorems for Metric and Singular Riemannian Foliations

Karlsruher Institut für Technologie, G., Corro, D., & Galaz‐García, F. (2025) · Symmetry Integrability and Geometry Methods and Applications · doi:10.3842/sigma.2025.106 · Cited by 2

Congruence and Superposability in Elliptic Space

Blumenthal, L. M. (1947) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-1947-0024134-1 · Cited by 2

Detecting Hilbert manifolds among isometrically homogeneous metric spaces

Банах, Т. О., & Repovs, D. D. (2010) · Topology and its Applications · doi:10.1016/j.topol.2010.02.012 · Cited by 2

Some generalizations on affine invariant points

Jonard-Pérez, N. (2020) · Proceedings of the American Mathematical Society · doi:10.1090/proc/15229 · Cited by 2

On the equivariant cohomology of cohomogeneity one Alexandrov spaces

Amann, M., & Zarei, M. (2026) · manuscripta mathematica · doi:10.1007/s00229-026-01702-w · Cited by 2

Isometry groups among topological groups

Niemiec, P. (2013) · Pacific Journal of Mathematics · doi:10.2140/pjm.2013.266.77 · Cited by 1

Homogeneous Sub-Riemannian Manifolds Whose Normal Extremals are Orbits

Yan, Z., An, H., & Deng, S. (2024) · Transformation Groups · doi:10.1007/s00031-024-09844-5 · Cited by 1

Symmetric Finsler Spaces

Deng, S. (2012) · Springer monographs in mathematics · doi:10.1007/978-1-4614-4244-8_5 · Cited by 1

A group of isometries with non-closed orbits

Abels, H., & Manoussos, A. (2012) · Topology and its Applications · doi:10.1016/j.topol.2012.09.007 · Cited by 1

ISOMETRY GROUPS AMONG TOPOLOGICAL GROUPSPreprint

Niemiec, P. (2016) · Cited by 1

Correction to: Bounded Isometries and Homogeneous Quotients

Wolf, J. A. (2021) · Journal of Geometric Analysis · doi:10.1007/s12220-021-00752-8 · Cited by 1

On the Orbits of not Expansive Mappings in Metric SpacesPreprint

Venturini, S. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1304.1023

The Group of Isometries

Deng, S. (2012) · Springer monographs in mathematics · doi:10.1007/978-1-4614-4244-8_3

Funktionenr�ume, kartesische Geschlossenheit und nonstandard Methoden

Brinkmann, H.-B. (1992) · Archiv der Mathematik · doi:10.1007/bf01190677

Lie Groups and Homogeneous Spaces

Deng, S. (2012) · Springer monographs in mathematics · doi:10.1007/978-1-4614-4244-8_2

On Hilberths Theory of Closed Group Actions

Fáry, I. (1968) · Springer eBooks · doi:10.1007/978-3-642-46141-5_38

Minimal skew products with hypertransitive or mixing properties

Dirbák, M. (2012) · Discrete and Continuous Dynamical Systems · doi:10.3934/dcds.2012.32.1657

A Kobayashi pseudo-distance for holomorphic bracket generating distributions

Seo, A. (2018) · Transactions of the American Mathematical Society · doi:10.1090/tran/7537

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A Lorentzian Equivariant Index TheoremPreprint

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Invariante Metriken in homogenen Räumen

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