A panoramic glimpse of manifolds with sectional curvature bounded from below (Q4602308)

scientific article; zbMATH DE number 6823449

Language	Label	Description	Also known as
English	A panoramic glimpse of manifolds with sectional curvature bounded from below	scientific article; zbMATH DE number 6823449

Statements

instance of

scholarly article

0 references

title

A panoramic glimpse of manifolds with sectional curvature bounded from below (English)

0 references

author

Karsten Grove

0 references

published in

St. Petersburg Mathematical Journal

0 references

publication date

9 January 2018

0 references

zbMATH Keywords

lower curvature bound

0 references

toponogov distance comparison theorem

0 references

Bishop-Gromov volume comparison theorem

0 references

Gromov-Hausdorff topology

0 references

metric critical point theory

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1090/spmj/1479

0 references

cites work

On polar foliations and the fundamental group

0 references

Singular Riemannian foliations on simply connected spaces

0 references

An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures

0 references

Topological properties of positively curved manifolds with symmetry

0 references

On a certain family of closed 13-dimensional Riemannian manifolds of positive curvature

0 references

Obstructions to nonnegative curvature and rational homotopy theory

0 references

Les variétés riemanniennes homogenes simplement connexes de dimension impaire à courbure strictement positive

0 references

Spaces with bounded curvature and distance geometry

0 references

A metric characterization of Riemannian submersions

0 references

Q3283409

0 references

Sur les variétés à courbure strictement positive

0 references

Q4332746

0 references

Three-dimensional open Riemannian space of nonnegative curvature

0 references

Q2731895

0 references

A.D. Alexandrov spaces with curvature bounded below

0 references

CONVEX SETS IN RIEMANNIAN SPACES OF NON-NEGATIVE CURVATURE

0 references

Finiteness Theorems for Riemannian Manifolds

0 references

Some examples of manifolds of nonnegative curvature

0 references

Q4067705

0 references

Nilpotent Structures and Invariant Metrics on Collapsed Manifolds

0 references

On the structure of complete manifolds of nonnegative curvature

0 references

Spaces with Ricci curvature bounds

0 references

A 7-manifold with positive curvature

0 references

The sectional curvature remains positive when taking quotients by certain nonfree actions

0 references

New examples of manifolds with strictly positive curvature

0 references

Q3344797

0 references

Non-negatively curved 6-manifolds with almost maximal symmetry rank

0 references

Reflection groups in non-negative curvature

0 references

Tits geometry and positive curvature

0 references

Rank three geometry and positive curvature

0 references

Positive pinching, volume and second Betti number

0 references

The second twisted Betti number and the convergence of collapsing Riemannian manifolds

0 references

Homeomorphism classification of positively curved manifolds with almost maximal symmetry rank

0 references

The fundamental groups of almost nonnegatively curved manifolds

0 references

Nonnegatively curved fixed point homogeneous manifolds in low dimensions

0 references

Cohomogeneity-two torus actions on non-negatively curved manifolds of low dimension

0 references

Torus actions on rationally elliptic manifolds

0 references

Low-dimensional manifolds with non-negative curvature and maximal symmetry rank

0 references

Nonnegatively curved 5-manifolds with almost maximal symmetry rank

0 references

Adiabatic limits of Seifert fibrations, Dedekind sums, and the diffeomorphism type of certain 7-manifolds

0 references

Highly connected $7$-manifolds and non-negative sectional curvature

0 references

Nonnegative curvature on stable bundles over compact rank one symmetric spaces

0 references

Low dimensional polar actions

0 references

Q5525168

0 references

$C^\infty$ approximations of convex, subharmonic, and plurisubharmonic functions

0 references

A generalization of Berger's rigidity theorem for positively curved manifolds

0 references

The low-dimensional metric foliations of Euclidean spheres

0 references

Curvature, diameter and Betti numbers

0 references

Q3138474

0 references

Q4442697

0 references

Contributions of rational homotopy theory to global problems in geometry

0 references

New Extremal Problems for the Riemannian Recognition Program via Alexandrov Geometry

0 references

Bounding homotopy types by geometry

0 references

Manifolds near the boundary of existence

0 references

Volume comparison à la Aleksandrov

0 references

Erratum: Geometric finiteness theorems via controlled topology

0 references

Positively curved manifolds with maximal symmetry-rank

0 references

Differential topological restrictions by curvature and symmetry

0 references

Rank two fundamental groups of positively curved manifolds

0 references

A generalized sphere theorem

0 references

Q3594057

0 references

An exotic ${T_{1}\mathbb{S}^4}$ with positive curvature

0 references

Hard and soft packing radius theorems

0 references

Q4342827

0 references

A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry

0 references

Positively curved cohomogeneity one manifolds and 3-Sasakian geometry

0 references

Curvature and symmetry of Milnor spheres

0 references

Lifting group actions and nonnegative curvature

0 references

Polar manifolds and actions

0 references

On the metric structure of open manifolds with nonnegative curvature

0 references

Improving the metric in an open manifold with nonnegative curvature

0 references

Restrictions on the geometry at infinity of nonnegatively curved manifolds

0 references

Orientation and symmetries of Alexandrov spaces with applications in positive curvature

0 references

Three-manifolds with positive Ricci curvature

0 references

A proof of the Smale conjecture, $Diff(S^ 3)\simeq O(4)$

0 references

Q3207821

0 references

On the topology of positively curved 4-manifolds with symmetry

0 references

Q3525212

0 references

Regularity of limits of noncollapsing sequences of manifolds

0 references

Nilpotency, almost nonnegative curvature, and the gradient flow on Alexandrov spaces

0 references

On the Hopf conjecture with symmetry

0 references

Positively curved Riemannian metrics with logarithmic symmetry rank bounds

0 references

Torus group actions on simply connected manifolds

0 references

The fundamental equations of a submersion

0 references

Vector Bundles with No Soul

0 references

A General Theory of Canonical Forms

0 references

Proof of the soul conjecture of Cheeger and Gromoll

0 references

0 references

0 references

0 references

0 references

Semiconcave functions in Alexandrov's geometry

0 references

Diffeomorphism finiteness, positive pinching, and second homotopy

0 references

Q2776344

0 references

Spaces of Wald curvature bounded below

0 references

The diffeomorphism type of manifolds with almost maximal volume

0 references

Flats and submersions in non-negative curvature

0 references

Geodesic spheres as generators of the homotopy groups of O,BO

0 references

Q3525209

0 references

Positive curvature, local and global symmetry, and fundamental groups

0 references

On fundamental groups of positively curved manifolds with local torus actions

0 references

How to lift positive Ricci curvature

0 references

On the topology of nonnegatively curved simply connected 4-manifolds with continuous symmetry

0 references

On the fundamental groups of positively curved manifolds

0 references

The Pogorelov-Klingenberg theorem for manifolds homeomorphic to $\mathbb R^n$

0 references

Volume collapsed three-manifolds with a lower curvature bound

0 references

Collapsing three-manifolds under a lower curvature bound.

0 references

Metrics of positive Ricci curvature on quotient spaces

0 references

$\mathsf S^1$-actions on $4$-manifolds and fixed point homogeneous manifolds of nonnegative curvature

0 references

Orthogonally transversal submanifolds and the generalizations of the Weyl group

0 references

Cohomogeneity one Riemannian manifolds of even dimension with strictly positive curvature. I

0 references

Cohomogeneity one manifolds of even dimension with strictly positive sectional curvature

0 references

Concavity and rigidity in non-negative curvature

0 references

Compact homogeneous Riemannian manifolds with strictly positive curvature

0 references

Q5545223

0 references

Torus manifolds and non-negative curvature

0 references

Index parity of closed geodesics and rigidity of Hopf fibrations

0 references

The normal homogeneous space (𝖲𝖴(3)×𝖲𝖮(3))/𝖴^{∙}(2) has positive sectional curvature

0 references

Torus actions on manifolds of positive sectional curvature.

0 references

Positively curved manifolds with symmetry

0 references

A duality theorem for Riemannian foliations in nonnegative sectional curvature

0 references

Nonnegatively and Positively curved manifolds

0 references

Revisiting homogeneous spaces with positive curvature

0 references

Collapsing and pinching under a lower curvature bound

0 references

Q3525211

0 references

Identifiers

zbMATH Open document ID

1380.53002

0 references

DOI

10.1090/spmj/1479

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:4602308