The values of sectional curvature in indefinite metrics

Rohan Kulkarni

Type: Article

Publication Date: 1979-12-01

Citations: 51

DOI: https://doi.org/10.1007/bf02566265

View

Locations

Commentarii Mathematici Helvetici - View

Similar Works

Action	Title	Year	Authors
+	On sectional curvature of indefinite metrics	1978	Larry Graves Katsumi Nomizu
+	On sectional curvature of indefinite metrics. II	1980	Marcos Dajczer Katsumi Nomizu
+	On the boundedness of Ricci curvature of an indefinite metric	1980	Marcos Dajczer Katsumi Nomizu
+ PDF Chat	Indefinite Kähler metrics of constant holomorphic sectional curvature	1990	Shigeyoshi Fujimura
+	Indefinite Kähler metrics of constant holomorphic sectional curvature	1990	茂芳藤村
+ PDF Chat	Constancy of ϕ-Holomorphic Sectional Curvature for Indefinite Sasakian Manifolds	2009	Rakesh KUMAR Rachna RANİ R. K. NAGAİCH
+ PDF Chat	Constancy of holomorphic sectional curvature in indefinite almost Hermitian manifolds	1993	R. K. Nagaich
+	Metrics of positive scalar curvature and unbounded min-max widths	2016	Rafael Montezuma
+	Curvature of indefinite almost contact manifolds	1997	A. Bonome R. Castro Eduardo Garc�a-R�o Luis Hervella
+	Manifolds with indefinite metrics whose skew-symmetric curvature operator has constant eigenvalues	2000	Tan Zhang
+	Scalar curvature, macroscopic dimension and inessential manifolds	2013	Alexander Dranishnikov
+ PDF Chat	Scalar Curvature Functions of Almost-Kähler Metrics	2015	Jongsu Kim Chanyoung Sung
+	Riemannian manifolds of quasi-constant sectional curvatures	2000	Georgi Ganchev Vesselka Mihova
+	A note on extremal metrics of non-constant scalar curvature	1992	Santiago R. Simanca
+ PDF Chat	Convergence of the Ricci flow for metrics with indefinite Ricci curvature	1990	Mauro Carfora James Isenberg M. J. Jackson
+	Lower bound of the scalar curvature for quasi-Einstein metrics	2021	Wang Shen Lin Feng Wang
+	Sectional Curvature in Riemannian Manifolds	2020	Brendan Burns Healy Elliott Fairchild Francis Owen
+	The eta invariant and metrics of positive scalar curvature	1995	Boris Botvinnik Peter Gilkey
+	Metrics and Curvature	2023	Parvaneh Joharinad Jürgen Jost
+	Extremal Metrics for Quadratic Functional of Scalar Curvature on Closed 3-Manifolds	2004	Shu-Cheng Chang Chin-Tung Wu

Cited by (47)

Action	Title	Year	Authors
+	Almost isometries of non-reversible metrics with applications to stationary spacetimes	2014	Miguel Ángel Javaloyes Leandro Lichtenfelz Paolo Piccione
+	Indefinite K�hler manifolds	1982	Manuel Barros Alfonso Romero
+	Values of pseudoriemannian sectional cuvature	1984	John K. Beem Phillip E. Parker
+	A new characterization of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>n</mml:mi></mml:math>-dimensional Einstein static spacetime	2014	Francisco J. Palomo
+ PDF Chat	Indefinite quaternion space forms	1982	Juan de Dios Pérez Florentino G. Santos
+ PDF Chat	On the fundamental group of a complete globally hyperbolic Lorentzian manifold with a lower bound for the curvature tensor	2015	Jun-ichi Mukuno
+	The exponential map of a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>-metric	2014	Michael Kunzinger Roland Steinbauer Мilena Stojkovic
+ PDF Chat	Remarks on sectional curvature of an indefinite metric	1983	Katsumi Nomizu
+ PDF Chat	Erratum to optimal inequalities for embedded space-times	2014	Stefan Haesen
+	Spacelike Hypersurfaces in Lorentzian Spacetimes	2016	Luis J. Alı́as Paolo Mastrolia Marco Rigoli
+	An Introduction to Certain Topics on Lorentzian Geometry	2016	Alfonso Romero
+	On the boundedness of Ricci curvature of an indefinite metric	1980	Marcos Dajczer Katsumi Nomizu
+ PDF Chat	Whitney stability of solvability	1985	John K. Beem Phillip Parker
+ PDF Chat	Some semi-Riemannian volume comparison theorems	2000	Paul E. Ehrlich Miguel Sánchez
+	Geometric consequences of intrinsic and extrinsic curvature conditions	2005	Díaz Ramos José Carlos
+	Holomorphic sectional curvatures of indefinite complex Grassmann manifolds	1983	Sebastián Montiel Alfonso Romero
+ PDF Chat	Paraquaternionic Kähler Manifolds	2001	Eduardo García‐Río Yasuo Matsushita Ramón Vázquez‐Lorenzo
+	ON THE PARAHOLOMORPHIC SECTIONAL CURVATURE OF ALMOST PARA-HERMITIAN MANIFOLDS	1998	A. Bonome R. Castro Eduardo García‐Río Luis Hervella
+ PDF Chat	Null holomorphically flat indefinite almost Hermitian manifolds	1995	A. Bonome R. Castro Eduardo García‐Río Luis Hervella Yasuo Matsushita
+ PDF Chat	Geodesic reflections in semi-Riemannian geometry	1993	Eduardo García‐Río M. E. Vázquez-Abal
+	Curvature Properties of Para-Kähler Manifolds	1996	Eduardo García‐Río Luis Hervella Ramón Vásquez-Lorenzo
+	Comparison results for the volume of geodesic celestial spheres in Lorentzian manifolds	2005	José Carlos Díaz-Ramos Eduardo García‐Río Luis Hervella
+	Lorentzian Calder\'{o}n problem under curvature bounds	2020	Spyros Alexakis Ali Feizmohammadi Lauri Oksanen
+ PDF Chat	Lorentz and semi-Riemannian spaces with Alexandrov curvature bounds	2008	Stephanie Alexander Richard L. Bishop
+	Lightlike Hypersurfaces in Indefinite Trans-Sasakian Manifolds	2011	Fortuné Massamba
+ PDF Chat	Lorentzian Calderón problem under curvature bounds	2022	Spyros Alexakis Ali Feizmohammadi Lauri Oksanen
+	The fibre bundle of degenerate tangent planes of a Lorentzian manifold and the smoothness of the null sectional curvature	2007	Francisco J. Palomo
+ PDF Chat	On the sectional curvature of lightlike submanifolds	2016	Erol Kılıç Mehmet Gülbahar
+ PDF Chat	On Lorentzian spaces of constant sectional curvature	2018	Vladica Andrejić
+	Comparison and Rigidity Theorems in Semi-Riemannian Geometry	1996	Lars Andersson Ralph Howard
+ PDF Chat	Properly discontinuous isometric group actions on inhomogeneous Lorentzian manifolds	2013	Jun-ichi Mukuno
+	Wave maps from Gödelʼs universe	2014	Elisabetta Barletta Sorin Dragomir Marco Magliaro
+	Chapter 8 Certain actual topics on modern Lorentzian geometry	2006	Francisco J. Palomo Alfonso Romero
+	On the curvatures of Einstein spaces	1995	Hyoungsick Bahn Sungpyo Hong
+	Quasi-linear coordinates in general relativity	1996	A. San Miguel Francisco Vicente
+	SECTIONAL CURVATURE OF STANDARD STATIC SPACE-TIMES	2013	Bengi Ruken Yavuz
+	On the boundedness of Ricei curvature of an indef'mite metric	1980	Marcos Dajczer Katsumi Nomizu
+	Natural curvature operators of bounded spectrum	2006	Novica Blažić
+	Sectional curvature in general relativity	1987	G. S. Hall Alan D. Rendall
+	On the fundamental group of semi-Riemannian manifolds with positive curvature operator	2017	Jun-ichi Mukuno

Citing (3)

Action	Title	Year	Authors
+ PDF Chat	Spaces of constant curvature	2010	Joseph A. Wolf
+	Isotropic manifolds of indefinite metric	1964	Joseph A. Wolf
+	SPACES OF CONSTANT CURVATURE	1969	T. J. Willmore