Convex Algebraic Geometry of Curvature Operators

Renato G. Bettiol, Mario Kummer, Ricardo A. E. Mendes

Type: Article

Publication Date: 2021-01-01

Citations: 12

DOI: https://doi.org/10.1137/20m1350777

Abstract

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 6 July 2020Accepted: 29 January 2021Published online: 03 May 2021Keywordsconvex algebraic geometry, spectrahedral shadow, semidefinite programming, differential geometry, sectional curvatureAMS Subject Headings14P10, 53B20, 53C21, 90C22Publication DataISSN (online): 2470-6566Publisher: Society for Industrial and Applied MathematicsCODEN: sjaabq

Locations

SIAM Journal on Applied Algebra and Geometry - View
arXiv (Cornell University) - View - PDF
DataCite API - View

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Action	Title	Year	Authors
+ PDF Chat	Sectional curvature and Weitzenbock formulae	2022	Renato G. Bettiol Ricardo A. E. Mendes
+	Non-planar degenerations and related fundamental groups	2024	Meirav Amram
+	Extremality and rigidity for scalar curvature in dimension four	2022	Renato G. Bettiol McFeely Jackson Goodman
+	Spectrahedral Shadows and Completely Positive Maps on Real Closed Fields	2022	Manuel Bodirsky Mario Kummer Andreas Thom
+	Extremality and rigidity for scalar curvature in dimension four	2023	Renato G. Bettiol McFeely Jackson Goodman
+	Spectrahedral shadows and completely positive maps on real closed fields	2024	Manuel Bodirsky Mario Kummer Andreas Thom
+ PDF Chat	Ricci flow does not preserve positive sectional curvature in dimension four	2022	Renato G. Bettiol Anusha M. Krishnan
+ PDF Chat	Isoparametric Polynomials and Sums of Squares	2022	Jianquan Ge Zizhou Tang
+ PDF Chat	Curvature operators and rational cobordism	2024	Renato G. Bettiol McFeely Jackson Goodman
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Works Cited by This (43)

Action	Title	Year	Authors
+	Advances in convex optimization: conic programming	2006	Arkadi Nemirovski
+ PDF Chat	Remarks on curvature and the Euler integrand	1971	Alan Weinstein
+ PDF Chat	Nonnegative curvature operators: some nontrivial examples	1979	Stanley M. Zoltek
+	Interior-Point Polynomial Algorithms in Convex Programming	1994	Yurii Nesterov Arkadi Nemirovski
+	Sums of squares and varieties of minimal degree	2015	Grigoriy Blekherman Gregory Smith Mauricio Velasco
+ PDF Chat	Semidefinite Representation for Convex Hulls of Real Algebraic Curves	2018	Claus Scheiderer
+	Convex geometry of orbits.	2007	Alexander Barvinok Grigoriy Blekherman
+	Global Optimization with Polynomials and the Problem of Moments	2001	Jean B. Lasserre
+	On symmetric and skew-symmetric determinantal varieties	1984	Joe Harris Loring W. Tu
+	Pencils of complex and real symmetric and skew matrices	1991	Robert C. Thompson