A Note On Arc-Preserving Functions For Manifolds1

H. J. Charlton

doi:10.4153/cmb-1967-059-2

A Note On Arc-Preserving Functions For Manifolds1

Canadian Mathematical Bulletin ◽

10.4153/cmb-1967-059-2 ◽

1967 ◽

Vol 10 (4) ◽

pp. 597-598

Author(s):

H. J. Charlton

Keyword(s):

Compact Manifolds ◽

Locally Connected Continuum

Hall and Puckett [2] have shown that an arc - preserving function defined on a locally connected continuum having no local separating points is a homeomorphism if its total image is not an arc or point. This note shows that their results can be extended to non-compact manifolds.

Local well-posedness for the quadratic Schrödinger equation in two-dimensional compact manifolds with boundary

São Paulo Journal of Mathematical Sciences ◽

10.1007/s40863-021-00249-w ◽

2021 ◽

Author(s):

Marcelo Nogueira ◽

Mahendra Panthee

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Compact Manifolds ◽

Well Posedness ◽

Two Dimensional ◽

Manifolds With Boundary

The $$L^p$$-Calderón–Zygmund inequality on non-compact manifolds of positive curvature

Annals of Global Analysis and Geometry ◽

10.1007/s10455-021-09770-9 ◽

2021 ◽

Author(s):

Ludovico Marini ◽

Giona Veronelli

Keyword(s):

Positive Curvature ◽

Compact Manifolds

Minimal and maximal extensions of M-hypoelliptic proper uniform pseudo-differential operators in $$L^p$$-spaces on non-compact manifolds

Journal of Pseudo-Differential Operators and Applications ◽

10.1007/s11868-021-00393-z ◽

2021 ◽

Vol 12 (1) ◽

Author(s):

Ognjen Milatovic

Keyword(s):

Differential Operators ◽

Compact Manifolds ◽

Pseudo Differential Operators

Viscosity solutions of Eikonal and Lie equations on compact manifolds

Annals of Global Analysis and Geometry ◽

10.1007/bf00136872 ◽

1992 ◽

Vol 10 (3) ◽

pp. 305-305

Author(s):

Philippe Delano�

Keyword(s):

Viscosity Solutions ◽

Compact Manifolds

Solvability of the quaternionic Monge–Ampère equation on compact manifolds with a flat hyperKähler metric

Advances in Mathematics ◽

10.1016/j.aim.2013.03.021 ◽

2013 ◽

Vol 241 ◽

pp. 192-219 ◽

Cited By ~ 10

Author(s):

Semyon Alesker

Keyword(s):

Compact Manifolds ◽

Monge Ampere

Addendum to: Complete Conformal Metrics of Negative Ricci Curvature on Compact Manifolds with Boundary

International Mathematics Research Notices ◽

10.1093/imrn/rnp166 ◽

2009 ◽

Author(s):

B. Guan

Keyword(s):

Ricci Curvature ◽

Compact Manifolds ◽

Manifolds With Boundary ◽

Conformal Metrics

Global branches of periodic solutions for forced delay differential equations on compact manifolds

Journal of Differential Equations ◽

10.1016/j.jde.2006.10.001 ◽

2007 ◽

Vol 233 (2) ◽

pp. 404-416 ◽

Cited By ~ 2

Author(s):

Pierluigi Benevieri ◽

Alessandro Calamai ◽

Massimo Furi ◽

Maria Patrizia Pera

Keyword(s):

Differential Equations ◽

Periodic Solutions ◽

Delay Differential Equations ◽

Compact Manifolds ◽

Delay Differential

A Sharp Comparison Theorem for Compact Manifolds with Mean Convex Boundary

Journal of Geometric Analysis ◽

10.1007/s12220-012-9381-6 ◽

2012 ◽

Vol 24 (3) ◽

pp. 1490-1496 ◽

Cited By ~ 9

Author(s):

Martin Man-chun Li

Keyword(s):

Comparison Theorem ◽

Compact Manifolds ◽

Convex Boundary ◽

Mean Convex

Smoothness of stable holonomies inside center-stable manifolds

Ergodic Theory and Dynamical Systems ◽

10.1017/etds.2021.99 ◽

2021 ◽

pp. 1-26

Author(s):

AARON BROWN

Keyword(s):

Compact Manifolds ◽

Stable Manifolds ◽

Entropy Formula ◽

Partially Hyperbolic

Abstract Under a suitable bunching condition, we establish that stable holonomies inside center-stable manifolds for $C^{1+\beta }$ diffeomorphisms are uniformly bi-Lipschitz and, in fact, $C^{1+\mathrm {H\ddot{o}lder}}$ . This verifies the ergodicity of suitably center-bunched, essentially accessible, partially hyperbolic $C^{1+\beta }$ diffeomorphisms and verifies that the Ledrappier–Young entropy formula holds for $C^{1+\beta }$ diffeomorphisms of compact manifolds.

Strichartz estimates for the fractional Schrödinger and wave equations on compact manifolds without boundary

Journal of Differential Equations ◽

10.1016/j.jde.2017.08.045 ◽

2017 ◽

Vol 263 (12) ◽

pp. 8804-8837 ◽

Cited By ~ 3

Author(s):

Van Duong Dinh

Keyword(s):

Wave Equations ◽

Strichartz Estimates ◽

Compact Manifolds