SUB-RIEMANNIAN RICCI CURVATURES AND UNIVERSAL DIAMETER BOUNDS FOR 3-SASAKIAN MANIFOLDS (Q5242871)

scientific article; zbMATH DE number 7127857

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English	SUB-RIEMANNIAN RICCI CURVATURES AND UNIVERSAL DIAMETER BOUNDS FOR 3-SASAKIAN MANIFOLDS	scientific article; zbMATH DE number 7127857

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instance of

scholarly article

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title

SUB-RIEMANNIAN RICCI CURVATURES AND UNIVERSAL DIAMETER BOUNDS FOR 3-SASAKIAN MANIFOLDS (English)

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Journal of the Institute of Mathematics of Jussieu

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publication date

7 November 2019

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full work available at URL

https://arxiv.org/abs/1509.05410

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zbMATH Keywords

sub-Riemannian geometry

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3-Sasakian

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curvature

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MaRDI profile type

MaRDI publication profile

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cites work

Matrix Riccati equations in control and systems theory

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Any sub-Riemannian metric has points of smoothness

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Some open problems

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Bishop and Laplacian comparison theorems on three-dimensional contact sub-Riemannian manifolds with symmetry

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Geometry of Jacobi curves. II

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Q2973950

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On the Heat Diffusion for Generic Riemannian and Sub-Riemannian Structures

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Small-time heat kernel asymptotics at the sub-Riemannian cut locus

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A Bonnet-Myers type theorem for quaternionic contact structures

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A sub-Riemannian curvature-dimension inequality, volume doubling property and the Poincaré inequality

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Volume and distance comparison theorems for sub-Riemannian manifolds

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Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries

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The Lichnerowicz-Obata theorem on sub-Riemannian manifolds with transverse symmetries

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Transverse Weitzenböck formulas and curvature dimension inequalities on Riemannian foliations with totally geodesic leaves

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The subelliptic heat kernel on the CR sphere

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The subelliptic heat kernels of the quaternionic Hopf fibration

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Comparison theory for Riccati equations

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Quaternionic contact Einstein manifolds

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The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds

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On a contact 3-structure

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Ricci curvature type lower bounds for sub-Riemannian structures on Sasakian manifolds.

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Q2784274

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Riemannian manifolds with positive mean curvature

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A diameter bound for Sasaki manifolds

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Comparison theorems for the matrix riccati equation

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Optimal Transport

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Differential geometry of curves in Lagrange Grassmannians with given Young diagram

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Identifiers

zbMATH Open document ID

1478.53062

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DOI

10.1017/S1474748017000226

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5242871