G. Ya. Perel'man, “Elements of Morse theory on Aleksandrov spaces”, Algebra i Analiz, 5:1 (1993), 232–241; St. Petersburg Math. J., 5:1 (1994), 205

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Algebra i Analiz, 1993, Volume 5, Issue 1, Pages 232–241 (Mi aa374)

This article is cited in 14 scientific papers (total in 14 papers)

Research Papers

Elements of Morse theory on Aleksandrov spaces

G. Ya. Perel'man

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Full-text PDF (973 kB) Citations (14)

Received: 02.09.1992

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: G. Ya. Perel'man, “Elements of Morse theory on Aleksandrov spaces”, Algebra i Analiz, 5:1 (1993), 232–241; St. Petersburg Math. J., 5:1 (1994), 205–213

Citation in format AMSBIB

\Bibitem{Per93}

\by G.~Ya.~Perel'man

\paper Elements of Morse theory on Aleksandrov spaces

\jour Algebra i Analiz

\yr 1993

\vol 5

\issue 1

\pages 232--241

\mathnet{http://mi.mathnet.ru/aa374}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1220498}

\zmath{https://zbmath.org/?q=an:0815.53072}

\transl

\jour St. Petersburg Math. J.

\yr 1994

\vol 5

\issue 1

\pages 205--213

Linking options:

https://www.mathnet.ru/eng/aa374

https://www.mathnet.ru/eng/aa/v5/i1/p232

This publication is cited in the following 14 articles:

Yamaguchi T. Zhang Zh., “Inradius Collapsed Manifolds”, Geom. Topol., 23:6 (2019), 2793–2860
Galaz-Garcia F., Zarei M., “Cohomogeneity One Topological Manifolds Revisited”, Math. Z., 288:3-4 (2018), 829–853
St. Petersburg Math. J., 29:1 (2018), 3–31
Harvey J. Searle C., “Orientation and Symmetries of Alexandrov Spaces With Applications in Positive Curvature”, J. Geom. Anal., 27:2 (2017), 1636–1666
Chen X. Grove K., “Rigidity Theorems For Submetries in Positive Curvature”, Adv. Math., 289 (2016), 784–796
Mitsuishi A. Yamaguchi T., “Collapsing Three-Dimensional Closed Alexandrov Spaces With a Lower Curvature Bound”, Trans. Am. Math. Soc., 367:4 (2015), PII S0002-9947(2014)06091-1, 2339–2410
Worner A., “A Splitting Theorem for Nonnegatively Curved Alexandrov Spaces”, Geom. Topol., 16:4 (2012), 2391–2426
St. Petersburg Math. J., 17:3 (2006), 477–491
Zamfirescu, T, “On the cut locus in Alexandrov spaces and applications to convex surfaces”, Pacific Journal of Mathematics, 217:2 (2004), 375
Sormani, C, “Universal covers for Hausdorff limits of noncompact spaces”, Transactions of the American Mathematical Society, 356:3 (2004), 1233
Menguy, X, “Noncollapsing examples with positive Ricci curvature and infinite topological type”, Geometric and Functional Analysis, 10:3 (2000), 600
Petrunin, A, “Collapsing vs. positive pinching”, Geometric and Functional Analysis, 9:4 (1999), 699
Petrunin, A, “Parallel transportation for Alexandrov space with curvature bounded below”, Geometric and Functional Analysis, 8:1 (1998), 123
PERELMAN, G, “WIDTHS OF NONNEGATIVELY CURVED SPACES”, Geometric and Functional Analysis, 5:2 (1995), 445

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	6254
Full-text PDF :	2724
References:	2
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