The Schwarzian derivative and conformal mapping of Riemannian manifolds

Brad Osgood, Dennis Stowe

Type: Article

Publication Date: 1992-07-01

Citations: 104

DOI: https://doi.org/10.1215/s0012-7094-92-06704-4

View Publication

Locations

Duke Mathematical Journal - View

Similar Works

Action	Title	Year	Authors
+	The Schwarzian derivative for conformal maps.	1990	Keith Carne
+	The Schwarzian derivative, conformal connections, and Möbius structures	1998	Brad Osgood Dennis Stowe
+ PDF Chat	The Schwarzian derivative and the Poincaré metric	1979	Jacob Burbea
+ PDF Chat	Conformality and isometry of Riemannian manifolds to spheres	1970	Chuan-Chih Hsiung Louis W. Stern
+ PDF Chat	Schwarzian derivatives of some conformal mappings	1979	Hisao Sekigawa
+ PDF Chat	Schwarzian derivative of holomorphic mappings	1997	Qi-Keng Lu Stephen Yau Anatoly Libgober
+	Conformality on Semi-Riemannian Manifolds	2015	Cornelia-Livia Bejan Şemsi Eken
+ PDF Chat	Conformality of Riemannian manifolds to spheres	1974	Krishna Amur V. S. Hegde
+ PDF Chat	Conformal transformations of Riemannian manifolds	1970	Morio Obata
+ PDF Chat	Conformality and Pseudo-Riemannian Manifolds.	1971	Julian Ławrynowicz W. Waliszewski
+	The action of conformal transformations on a Riemannian manifold	1996	J Ferrand
+	Conformal Riemannian Maps between Riemannian Manifolds, Their Harmonicity and Decomposition Theorems	2008	Bayram Şahin
+	Conformal deformations of the Riemannian metrics and homogeneous Riemannian spaces	2002	Eugene D. Rodionov В. В. Славский
+	The geodesic mappings in Riemannian and pseudo-Riemannian manifolds	2008	Paolo Venzi
+	Smoothness of a conformal map of Riemannian spaces	1982	S. Z. Shefel’
+	Conformal mappings with respect to a Riemannian metric	1990	Friedmar Schulz
+	Differential Properties of Mappings with Bounded Distortion and Conformal Mappings of Riemannian Spaces	1994	Yu. G. Reshetnyak
+	The Schwartzian Derivative and the Conformal Geometry of the Lorentz Hyperboloid	1988	Bertram Kostant Shlomo Sternberg
+	Conformal transformations of pseudo-Riemannian manifolds	2008	Wolfgang Kühnel Hans–Bert Rademacher
+	SCALAR CURVATURE AND CONFORMAL DEFORMATION OF RIEMANNIAN MANIFOLDS	1993	Andrea Ratto

Works That Cite This (101)

Action	Title	Year	Authors
+	Quasiconformal Extensions of Harmonic Mappings	2020	Martin Chuaqui
+ PDF Chat	Schwarzian derivatives for pluriharmonic mappings	2020	Iason Efraimidis Álvaro Ferrada-Salas Rodrigo Hernández Rodrigo Vargas
+	The Schwarzian derivative, conformal connections, and Möbius structures	1998	Brad Osgood Dennis Stowe
+ PDF Chat	Conformal Diffeomorphisms of Gradient Ricci Solitons and Generalized Quasi-Einstein Manifolds	2013	Jeffrey L. Jauregui William Wylie
+ PDF Chat	On the structure of gradient Yamabe solitons	2012	Huai-Dong Cao Xiaofeng Sun Yingying Zhang
+	The Schwarzian Derivative of Harmonic Mappings in the Plane	2020	Li-ping Nie Yang Zong-xin
+ PDF Chat	Quasi-Fuchsian manifolds close to the Fuchsian locus are foliated by constant mean curvature surfaces	2023	Diptaishik Choudhury Filippo Mazzoli Andrea Seppi
+	The conformal-to-Einstein equation on Möbius surfaces	2014	Matthew Randall
+ PDF Chat	A free boundary problem associated with the isoperimetric inequality	2019	Ar. Abanov Catherine Bénéteau Dmitry Khavinson Razvan Teodorescu
+ PDF Chat	Pre-Schwarzian and Schwarzian Derivatives of Harmonic Mappings	2013	Rodrigo Hernández María Jesús Martín

Works Cited by This (27)

Action	Title	Year	Authors
+	Cross-ratios and Schwarzian Derivatives in Rn	1988	Lars V. Ahlfors
+ PDF Chat	The conjectures on conformal transformations of Riemannian manifolds	1971	Morio Obata
+ PDF Chat	Remarks on conformal transformations	1973	Shing‐Tung Yau
+	Univalent Functions and Teichmüller Spaces	1987	Olli Lehto
+ PDF Chat	Curvature structures and conformal transformations	1970	Ravindra S. Kulkarni
+ PDF Chat	A Theorem on the Affine Transformation Group of a Riemannian Manifold	1955	Shôshichi Kobayashi
+ PDF Chat	Spirals and the universal Teichmüller space	1978	F. W. Gehring
+ PDF Chat	The conformal transformation on a space with parallel Ricci tensor.	1959	Tadashi Nagano
+ PDF Chat	Concircular geometry V. Einstein spaces	1942	Kentarô Yano
+	Einstein spaces which are mapped conformally on each other	1925	Hans-Berndt Brinkmann