Ye, Zhu On manifolds with nonnegative Ricci curvature and the infimum of volume growth order \(< 2\). (English) Zbl 07956928 J. Reine Angew. Math. 817, 239-250 (2024). MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Jiayin; Ye, Zhu Nonnegative Ricci curvature, splitting at infinity, and first Betti number rigidity. (English) Zbl 07956614 Adv. Math. 459, Article ID 110028, 29 p. (2024). MSC: 53C20 53C23 53C24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Jikang Ricci limit spaces are semi-locally simply connected. (English) Zbl 07939793 J. Differ. Geom. 128, No. 3, 1301-1314 (2024). MSC: 53-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Huang, Hongzhi; Huang, Xian-Tao Almost splitting maps, transformation theorems and smooth fibration theorems. (English) Zbl 07939015 Adv. Math. 457, Article ID 109914, 54 p. (2024). MSC: 53C21 53C23 53B21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zamora, Sergio Limits of almost homogeneous spaces and their fundamental groups. (English) Zbl 07902907 Groups Geom. Dyn. 18, No. 3, 761-798 (2024). Reviewer: Rainer Löwen (Braunschweig) MSC: 53C23 22D99 22E20 22E40 51F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alattar, Mohammad Stability and equivariant Gromov-Hausdorff convergence. (English) Zbl 07902255 Bull. Lond. Math. Soc. 56, No. 8, 2585-2596 (2024). Reviewer: Jesús Núñez Zimbrón (Ciudad de México) MSC: 53C23 53C20 51K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Jiayin Nonnegative Ricci curvature, metric cones and virtual abelianness. (English) Zbl 07851055 Geom. Topol. 28, No. 3, 1409-1436 (2024). Reviewer: Dimitrios Varsos (Athína) MSC: 53C20 53C23 53C21 57S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Lina; Rong, Xiaochun; Xu, Shicheng A geometric approach to the modified Milnor problem. (English) Zbl 1542.53049 Commun. Contemp. Math. 26, No. 5, Article ID 2350018, 30 p. (2024). Reviewer: Watchareepan Atiponrat (Chiang Mai) MSC: 53C23 20F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Lina; Xu, Shicheng Quantitative rigidity of almost maximal volume entropy for both \(\mathsf{RCD}^\ast\) spaces and integral Ricci curvature bound. (English) Zbl 1540.53066 Adv. Math. 441, Article ID 109543, 22 p. (2024). Reviewer: James Hebda (St. Louis) MSC: 53C23 53C24 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cavallucci, Nicola; Sambusetti, Andrea Discrete groups of packed, non-positively curved, Gromov hyperbolic metric spaces. (English) Zbl 1542.53048 Geom. Dedicata 218, No. 2, Paper No. 36, 52 p. (2024). Reviewer: Giuliano Basso (Bonn) MSC: 53C23 20F65 57M07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xiaoyang; Ge, Jian; Han, Fei Almost nonnegative Ricci curvature and new vanishing theorems for genera. (English) Zbl 1535.53041 Math. Z. 306, No. 3, Paper No. 44, 11 p. (2024). Reviewer: Owen Dearricott (Melbourne) MSC: 53C23 53C21 53C27 53C55 57M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Cavenaghi, Leonardo F.; Grama, Lino; Sperança, Llohann D. The concept of Cheeger deformations on fiber bundles with compact structure group. (English) Zbl 07786981 São Paulo J. Math. Sci. 17, No. 2, 441-464 (2023). Reviewer: Gabriel Eduard Vilcu (București) MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khezeli, Ali A unified framework for generalizing the Gromov-Hausdorff metric. (English) Zbl 1534.60007 Probab. Surv. 20, 837-896 (2023). Reviewer: Göran Högnäs (Åbo) MSC: 60B05 60B10 51F99 54E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Mondino, Andrea; Navarro, Dimitri Moduli spaces of compact \(\mathrm{RCD}(0,N)\)-structures. (English) Zbl 1535.53045 Math. Ann. 387, No. 3-4, 1435-1480 (2023). Reviewer: Lakehal Belarbi (Mostaganem) MSC: 53C23 58D27 58D29 49J52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Santos-Rodríguez, Jaime; Zamora-Barrera, Sergio On fundamental groups of RCD spaces. (English) Zbl 1547.53053 J. Reine Angew. Math. 799, 249-286 (2023). Reviewer: Timo Schultz (Jyväskylä) MSC: 53C23 51K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fujioka, Tadashi A fibration theorem for collapsing sequences of Alexandrov spaces. (English) Zbl 07661003 J. Topol. Anal. 15, No. 1, 265-298 (2023). Reviewer: Igor G. Nikolaev (Urbana) MSC: 53C23 53C45 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Jiayin; Wei, Guofang Semi-local simple connectedness of non-collapsing Ricci limit spaces. (English) Zbl 1508.53047 J. Eur. Math. Soc. (JEMS) 24, No. 12, 4027-4062 (2022). MSC: 53C21 53C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Jiayin; Wang, Jikang Some topological results of Ricci limit spaces. (English) Zbl 1506.53053 Trans. Am. Math. Soc. 375, No. 12, 8445-8464 (2022). Reviewer: Jialong Deng (Beijing) MSC: 53C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mondello, Ilaria; Mondino, Andrea; Perales, Raquel An upper bound on the revised first Betti number and a torus stability result for RCD spaces. (English) Zbl 1506.53052 Comment. Math. Helv. 97, No. 3, 555-609 (2022). Reviewer: Kyle Broder (Canberra) MSC: 53C23 53C21 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Lina Quantitative maximal volume entropy rigidity on Alexandrov spaces. (English) Zbl 1495.53062 Proc. Am. Math. Soc. 150, No. 7, 3103-3123 (2022). MSC: 53C24 53C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Jiayin; Wei, Guofang Examples of Ricci limit spaces with non-integer Hausdorff dimension. (English) Zbl 1496.53104 Geom. Funct. Anal. 32, No. 3, 676-685 (2022). MSC: 53E20 53C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Shicheng; Yao, Xuchao Margulis lemma and Hurewicz fibration theorem on Alexandrov spaces. (English) Zbl 1502.53062 Commun. Contemp. Math. 24, No. 4, Article ID 2150048, 32 p. (2022). Reviewer: Igor G. Nikolaev (Urbana) MSC: 53C21 53C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Shaosai; Wang, Bing Ricci flow smoothing for locally collapsing manifolds. (English) Zbl 1491.53050 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 64, 32 p. (2022). Reviewer: Thorsten Hertl (Göttingen) MSC: 53C21 53C23 53E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bazzoni, Giovanni; Lupton, Gregory; Oprea, John Homotopy invariants and almost non-negative curvature. (English) Zbl 1489.55006 Math. Z. 300, No. 2, 1117-1140 (2022). Reviewer: Aleksandar Milivojevic (Bonn) MSC: 55P62 55R10 55M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Jiayin Nonnegative Ricci curvature and escape rate gap. (English) Zbl 1497.53078 J. Reine Angew. Math. 782, 175-196 (2022). Reviewer: Emil Saucan (Haifa) MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Escher, Christine; Searle, Catherine Torus actions, maximality, and non-negative curvature. (English) Zbl 1493.53049 J. Reine Angew. Math. 780, 221-264 (2021). Reviewer: Lorenzo Foscolo (London) MSC: 53C20 57S25 × Cite Format Result Cite Review PDF Full Text: DOI
Kapovitch, Vitali Mixed curvature almost flat manifolds. (English) Zbl 1476.53060 Geom. Topol. 25, No. 4, 2017-2059 (2021). Reviewer: Chandan Kumar Mondal (Durgapur) MSC: 53C20 53C21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fujiwara, Koji; Ono, Kaoru Kenji Fukaya. (English) Zbl 1468.01011 Kyoto J. Math. 61, No. 2, 225-229 (2021). MSC: 01A70 00B25 00B30 14-06 53-06 × Cite Format Result Cite Review PDF Full Text: DOI
Pan, Jiayin On the escape rate of geodesic loops in an open manifold with nonnegative Ricci curvature. (English) Zbl 1472.53046 Geom. Topol. 25, No. 2, 1059-1085 (2021). Reviewer: James Hebda (St. Louis) MSC: 53C20 53C23 53C22 57S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Jiayin The fundamental groups of open manifolds with nonnegative Ricci curvature. (English) Zbl 1456.53007 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 078, 16 p. (2020). MSC: 53-02 53C21 53C23 57S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Hongzhi; Kong, Lingling; Rong, Xiaochun; Xu, Shicheng Collapsed manifolds with Ricci bounded covering geometry. (English) Zbl 1462.53035 Trans. Am. Math. Soc. 373, No. 11, 8039-8057 (2020). Reviewer: Bożena Piątek (Gliwice) MSC: 53C21 53C23 53C24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chung, Nhan-Phu Gromov-Hausdorff distances for dynamical systems. (English) Zbl 1451.37036 Discrete Contin. Dyn. Syst. 40, No. 11, 6179-6200 (2020). Reviewer: Marta Macho Stadler (Leioa) MSC: 37C85 37C40 37C75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Santos-Rodríguez, Jaime Invariant measures and lower Ricci curvature bounds. (English) Zbl 1446.53035 Potential Anal. 53, No. 3, 871-897 (2020). MSC: 53C23 53C21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xiaoyang Morse-Novikov cohomology of almost nonnegatively curved manifolds. (English) Zbl 1481.53046 Adv. Math. 371, Article ID 107249, 22 p. (2020). Reviewer: G. Pacelli Bessa (Fortaleza) MSC: 53C20 57R19 58A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Hongzhi Fibrations and stability for compact group actions on manifolds with local bounded Ricci covering geometry. (English) Zbl 1509.53043 Front. Math. China 15, No. 1, 69-89 (2020). MSC: 53C21 53C23 53C24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Galaz-Garcia, Fernando; Guijarro, Luis; Nunez-Zimbron, Jesus Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric. (English) Zbl 1460.53041 Indiana Univ. Math. J. 69, No. 3, 977-1005 (2020). Reviewer: Igor G. Nikolaev (Urbana) MSC: 53C23 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rong, Xiaochun; Yao, Xuchao A generalized \(\pi_2\)-diffeomorphism finiteness theorem. (English) Zbl 1462.53037 Front. Math. China 15, No. 2, 399-418 (2020). Reviewer: Nabil L. Youssef (Giza) MSC: 53C21 53C23 53C24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Jiayin A proof of Milnor conjecture in dimension 3. (English) Zbl 1432.53053 J. Reine Angew. Math. 758, 253-260 (2020). MSC: 53C20 57M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Pan, Jiayin Nonnegative Ricci curvature, stability at infinity and finite generation of fundamental groups. (English) Zbl 1431.53037 Geom. Topol. 23, No. 6, 3203-3231 (2019). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 53C20 53C23 53C21 57S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cerocchi, Filippo; Sambusetti, Andrea Local topological rigidity of nongeometric 3-manifolds. (English) Zbl 1469.57025 Geom. Topol. 23, No. 6, 2899-2927 (2019). MSC: 57M60 53C23 53C24 20F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yamaguchi, Takao; Zhang, Zhilang Inradius collapsed manifolds. (English) Zbl 1429.53051 Geom. Topol. 23, No. 6, 2793-2860 (2019). MSC: 53C20 53C21 53C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Guoyi Local estimate of fundamental groups. (English) Zbl 1419.53042 Adv. Math. 352, 158-230 (2019). MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Honda, Shouhei On the spaces with Ricci curvature bounds. (English. Japanese original) Zbl 1430.53043 Sugaku Expo. 32, No. 1, 87-112 (2019); translation from Sūgaku 67, No. 2, 154-178 (2015). Reviewer: Peter B. Gilkey (Eugene) MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI
Guijarro, Luis; Santos-Rodríguez, Jaime On the isometry group of \(RCD^*(K,N)\)-spaces. (English) Zbl 1409.53039 Manuscr. Math. 158, No. 3-4, 441-461 (2019). Reviewer: Thilo Kuessner (Augsburg) MSC: 53C23 53C21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kapovitch, Vitali; Petrunin, Anton; Tuschmann, Wilderich On the torsion in the center conjecture. (English) Zbl 1412.57018 Electron. Res. Announc. Math. Sci. 25, 27-35 (2018). Reviewer: Andrzej Szczepański (Gdańsk) MSC: 57R19 55R10 57M05 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bettiol, Renato G.; Derdzinski, Andrzej; Piccione, Paolo Teichmüller theory and collapse of flat manifolds. (English) Zbl 1402.32014 Ann. Mat. Pura Appl. (4) 197, No. 4, 1247-1268 (2018). Reviewer: Corina Mohorianu (Iaşi) MSC: 32G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sosa, Gerardo The isometry group of an \(\mathsf{RCD}^*\) space is Lie. (English) Zbl 1406.53049 Potential Anal. 49, No. 2, 267-286 (2018). Reviewer: Oleg Styrt (Moskva) MSC: 53C23 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bamler, Richard H. Long-time behavior of 3-dimensional Ricci flow. D: Proof of the main results. (English) Zbl 1388.53061 Geom. Topol. 22, No. 2, 949-1068 (2018). Reviewer: Corina Mohorianu (Iaşi) MSC: 53C44 49Q05 53C23 57M15 57M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grove, K. A panoramic glimpse of manifolds with sectional curvature bounded from below. (English) Zbl 1380.53002 St. Petersbg. Math. J. 29, No. 1, 3-31 (2018) and Algebra Anal. 29, No. 1, 7-48 (2017). MSC: 53-02 53C20 53C23 57S15 × Cite Format Result Cite Review PDF Full Text: DOI
Bamler, Richard H. The long-time behavior of 3-dimensional Ricci flow on certain topologies. (English) Zbl 1460.53077 J. Reine Angew. Math. 725, 183-215 (2017). MSC: 53E20 57R65 37D40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Zhang, Weiyi Geometric structures, Gromov norm and Kodaira dimensions. (English) Zbl 1364.57016 Adv. Math. 308, 1-35 (2017). Reviewer: Loreno Heer (Zürich) MSC: 57M50 57R17 14K05 53D35 53D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Herrmann, Martin Almost nonnegative curvature operator and cohomology rings. (English) Zbl 1367.53033 Front. Math. China 11, No. 5, 1259-1274 (2016). Reviewer: Viviana del Barco (Rosario) MSC: 53C20 53C30 × Cite Format Result Cite Review PDF Full Text: DOI
Harvey, John Equivariant Alexandrov geometry and orbifold finiteness. (English) Zbl 1350.53046 J. Geom. Anal. 26, No. 3, 1925-1945 (2016). Reviewer: Bożena Piątek (Gliwice) MSC: 53C20 51K10 57R18 58J53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Harvey, John Convergence of isometries, with semicontinuity of symmetry of Alexandrov spaces. (English) Zbl 1339.53042 Proc. Am. Math. Soc. 144, No. 8, 3507-3515 (2016). MSC: 53C23 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Plaut, Conrad; Wilkins, Jay Essential circles and Gromov-Hausdorff convergence of covers. (English) Zbl 1346.57007 J. Topol. Anal. 8, No. 1, 89-115 (2016). Reviewer: Vlasta Matijević (Split) MSC: 57M10 53C23 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jaramillo, Maree Fundamental groups of spaces with Bakry-Emery Ricci tensor bounded below. (English) Zbl 1331.53060 J. Geom. Anal. 25, No. 3, 1828-1858 (2015). Reviewer: Corina Mohorianu (Iaşi) MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Searle, Catherine; Wilhelm, Frederick How to lift positive Ricci curvature. (English) Zbl 1318.53029 Geom. Topol. 19, No. 3, 1409-1475 (2015). MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mitsuishi, Ayato; Yamaguchi, Takao Collapsing three-dimensional closed Alexandrov spaces with a lower curvature bound. (English) Zbl 1320.53039 Trans. Am. Math. Soc. 367, No. 4, 2339-2410 (2015). Reviewer: Igor G. Nikolaev (Urbana) MSC: 53C20 53C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lott, John Collapsing with a lower bound on the curvature operator. (English) Zbl 1288.53062 Adv. Math. 256, 291-317 (2014). MSC: 53C44 53C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Herrmann, Martin; Sebastian, Dennis; Tuschmann, Wilderich Manifolds with almost nonnegative curvature operator and principal bundles. (English) Zbl 1283.53028 Ann. Global Anal. Geom. 44, No. 4, 391-399 (2013). MSC: 53C05 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Breuillard, Emmanuel; Green, Ben; Tao, Terence The structure of approximate groups. (English) Zbl 1260.20062 Publ. Math., Inst. Hautes Étud. Sci. 116, 115-221 (2012). MSC: 20F65 11B30 22D05 20F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tuschmann, Wilderich Collapsing and almost nonnegative curvature. (English) Zbl 1252.53041 Bär, Christian (ed.) et al., Global differential geometry. Berlin: Springer (ISBN 978-3-642-22841-4/hbk; 978-3-642-22842-1/ebook). Springer Proceedings in Mathematics 17, 93-106 (2012). Reviewer: Peter B. Gilkey (Eugene) MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Yu F-structure on collapsed orbifolds. (English) Zbl 1236.53038 Differ. Geom. Appl. 30, No. 1, 13-19 (2012). Reviewer: Gheorghe Pitiş (Braşov) MSC: 53C23 53C20 × Cite Format Result Cite Review PDF Full Text: DOI
Shioya, Takashi Collapsing three-manifolds with a lower curvature bound. (English) Zbl 1252.53051 Tohoku Math. J. (2) 63, No. 4, Centen. Iss., 471-487 (2011). Reviewer: Johann Lang (Graz) MSC: 53C23 53C20 57M50 × Cite Format Result Cite Review PDF Full Text: DOI
Ge, Jian Soul theorem for 4-dimensional topologically regular open nonnegatively curved Alexandrov spaces. (English) Zbl 1244.53081 Proc. Am. Math. Soc. 139, No. 12, 4435-4443 (2011). Reviewer: Yurii G. Nikonorov (Volgodonsk) MSC: 53C45 51K10 53C20 53C21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Su, Xiaole; Wang, Yusheng On finite subgroups of compact Lie groups and fundamental groups of Riemannian manifolds. (English) Zbl 1213.53051 Adv. Geom. 11, No. 2, 191-199 (2011). MSC: 53C20 22E40 × Cite Format Result Cite Review PDF Full Text: DOI
Kapovitch, Vitali; Petrunin, Anton; Tuschmann, Wilderich Nilpotency, almost nonnegative curvature, and the gradient flow on Alexandrov spaces. (English) Zbl 1192.53040 Ann. Math. (2) 171, No. 1, 343-373 (2010). Reviewer: Peter B. Gilkey (Eugene) MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Paternain, Gabriel P.; Petean, Jimmy Collapsing manifolds obtained by Kummer-type constructions. (English) Zbl 1171.53031 Trans. Am. Math. Soc. 361, No. 8, 4077-4090 (2009). MSC: 53C23 53C20 57R17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Simon, Miles Ricci flow of almost non-negatively curved three manifolds. (English) Zbl 1165.53046 J. Reine Angew. Math. 630, 177-217 (2009). MSC: 53C44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazur, Marcin; Rong, Xiaochun; Wang, Yusheng Margulis lemma for compact Lie groups. (English) Zbl 1155.22009 Math. Z. 258, No. 2, 395-406 (2008). Reviewer: Sergio Console (Torino) MSC: 22E20 53C20 57S15 57T20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yuguang Kähler manifolds with almost non-negative Ricci curvature. (English) Zbl 1134.53041 Chin. Ann. Math., Ser. B 28, No. 4, 421-428 (2007). Reviewer: V. V. Chueshev (Kemerovo) MSC: 53C55 53C21 14J32 × Cite Format Result Cite Review PDF Full Text: DOI
Paeng, Seong-Hun Isometry groups of Riemannian manifolds with bounded norms. (English) Zbl 1119.53025 Tohoku Math. J. (2) 58, No. 2, 219-229 (2006). Reviewer: Simon L. Kokkendorff (Kgs. Lyngby) MSC: 53C20 53C21 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ennis, John; Wei, Guofang Describing the universal cover of a compact limit. (English) Zbl 1137.53333 Differ. Geom. Appl. 24, No. 5, 554-562 (2006). MSC: 53C23 53C20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Shen, Zhongmin; Wu, Jyh-Yang Curvature, diameter and bounded Betti numbers. (English) Zbl 1102.53026 Chin. Ann. Math., Ser. B 27, No. 2, 143-152 (2006). Reviewer: R. E. Stong (Charlottesville) MSC: 53C21 53C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fang, Fuquan Kähler manifolds with numerically effective Ricci class and maximal first Betti number are tori. (English) Zbl 1095.14037 C. R., Math., Acad. Sci. Paris 342, No. 6, 411-416 (2006). Reviewer: Andreas Höring (St. Martin d’Heres) MSC: 14J40 32J27 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Shioya, Takashi; Yamaguchi, Takao Volume collapsed three-manifolds with a lower curvature bound. (English) Zbl 1087.53033 Math. Ann. 333, No. 1, 131-155 (2005). Reviewer: Alberto Cavicchioli (Modena) MSC: 53C20 53C23 57N10 57M99 53C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shankar, Krishnan; Tapp, Kristopher; Tuschmann, Wilderich Nonnegatively and positively curved invariant metrics on circle bundles. (English) Zbl 1087.53032 Proc. Am. Math. Soc. 133, No. 8, 2449-2459 (2005). Reviewer: Gábor Tóth (Camden) MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI
Kapovitch, Vitali Restrictions on collapsing with a lower sectional curvature bound. (English) Zbl 1068.53024 Math. Z. 249, No. 3, 519-539 (2005). MSC: 53C20 53C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lott, John Remark about the spectrum of the \(p\)-form Laplacian under a collapse with curvature bounded below. (English) Zbl 1042.58018 Proc. Am. Math. Soc. 132, No. 3, 911-918 (2004). Reviewer: Georgi E. Karadzhov (Sofia) MSC: 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Paeng, Seong-Hun On the fundamental group of manifolds with almost nonnegative Ricci curvature. (English) Zbl 1040.53042 Proc. Am. Math. Soc. 131, No. 8, 2577-2583 (2003). Reviewer: Raffaele Vitolo (Lecce) MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
Schwachhöfer, Lorenz J. Lower curvature bounds and cohomogeneity one manifolds. (English) Zbl 1035.53043 Differ. Geom. Appl. 17, No. 2-3, 209-228 (2002). Reviewer: A. Szczepański (Gdańsk) MSC: 53C20 57R60 58B20 × Cite Format Result Cite Review PDF Full Text: DOI
Wilhelm, Frederick Exotic spheres with lots of positive curvatures. (English) Zbl 1023.53024 J. Geom. Anal. 11, No. 1, 161-186 (2001). Reviewer: L.Vanhecke (Leuven) MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI
Lott, John \(\widehat A\)-genus and collapsing. (English) Zbl 1047.53024 J. Geom. Anal. 10, No. 3, 529-543 (2000). Reviewer: James G. Timourian (Edmonton) MSC: 53C27 53C23 58J32 58J60 53C21 × Cite Format Result Cite Review PDF Full Text: DOI
Paeng, Seong-Hun Rigidities of asymptotically Euclidean manifolds. (English) Zbl 0962.53025 Bull. Aust. Math. Soc. 60, No. 3, 521-528 (1999). Reviewer: Mingliang Cai (Coral Gables) MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI
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Hattori, Toshiaki Asymptotic geometry of arithmetic quotients of symmetric spaces. (English) Zbl 0882.53038 Math. Z. 222, No. 2, 247-277 (1996). Reviewer: P.Eberlein (Chapel Hill) MSC: 53C35 53C23 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Yamaguchi, Takao Manifolds of almost nonnegative curvature. (English. Russian original) Zbl 0964.53024 J. Math. Sci., New York 94, No. 2, 1270-1310 (1999); translation from Zap. Nauchn. Semin. POMI 234, 201-260 (1996). MSC: 53C20 57R20 53C23 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
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Fukaya, Kenji; Yamaguchi, Takao Isometry groups of singular spaces. (English) Zbl 0797.53033 Math. Z. 216, No. 1, 31-44 (1994). Reviewer: Kenji Fukaya (Tokyo) MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Cai, Mingliang A splitting theorem for manifolds of almost nonnegative Ricci curvature. (English) Zbl 0810.53029 Ann. Global Anal. Geom. 11, No. 4, 373-385 (1993). MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI
Petersen, Peter V; Zhu, Shunhui An excess sphere theorem. (English) Zbl 0771.53024 Ann. Sci. Éc. Norm. Supér. (4) 26, No. 2, 175-188 (1993). Reviewer: A.P.Stone (Albuquerque) MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Anderson, Michael T. Hausdorff perturbations of Ricci-flat manifolds and the splitting theorem. (English) Zbl 0767.53029 Duke Math. J. 68, No. 1, 67-82 (1992). Reviewer: V.Yu.Rovenskij (Krasnoyarsk) MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI