Victor Bangert

Q: What Schools Are Affiliated With Victor Bangert

Victor Bangert is affiliated with the following schools: University of Freiburg, Technical University of Dortmund, University of Fribourg, University of Bern, Technical University of Munich

Victor Bangert's AcademicInfluence.com Rankings

Victor Bangert

Mathematics

#4413

World Rank

#6274

Historical Rank

Group Theory

#379

World Rank

#435

Historical Rank

Number Theory

#435

World Rank

#537

Historical Rank

Algebra

#739

World Rank

#965

Historical Rank

mathematics Degrees

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Mathematics

Why Is Victor Bangert Influential?

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According to Wikipedia, Victor Bangert is Professor of Mathematics at the Mathematisches Institut in Freiburg, Germany. His main interests are differential geometry and dynamical systems theory. He specialises in the theory of closed geodesics, wherein one of his significant results, combined with another one due to John Franks, implies that every Riemannian 2-sphere possesses infinitely many closed geodesics. He also made important contributions to Aubry–Mather theory.

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Victor Bangert's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Mather Sets for Twist Maps and Geodesics on Tori (1988) (317)
ON THE EXISTENCE OF CLOSED GEODESICS ON TWO-SPHERES (1993) (140)
The existence of two closed geodesics on every Finsler 2-sphere (2007) (111)
Geodesic rays, Busemann functions and monotone twist maps (1994) (101)
On minimal laminations of the torus (1989) (84)
Minimal geodesics (1990) (67)
Minimal geodesics (1990) (67)
Closed geodesics on complete surfaces (1980) (61)
Homology generated by iterated closed geodesics (1983) (55)
Minimal Measures and Minimizing Closed Normal One-currents (1999) (49)
A uniqueness theorem for Zn-periodic variational problems (1987) (44)
Closed geodesics on manifolds with infinite abelian fundamental group (1984) (44)
Sets with positive reach (1982) (43)
Filling area conjecture and ovalless real hyperelliptic surfaces (2004) (40)
Stable systolic inequalities and cohomology products (2002) (39)
An Optimal Loewner-type Systolic Inequality and Harmonic One-forms of Constant Norm (2003) (36)
Boundary case of equality in optimal Loewner-type inequalities (2004) (35)
The existence of gaps in minimal foliations (1987) (30)
Existence of flat tori in analytic manifolds of nonpositive curvature (1991) (28)
Totally convex sets in complete Riemannian manifolds (1981) (26)
E_7, Wirtinger inequalities, Cayley 4-form, and homotopy (2006) (22)
WIRTINGER INEQUALITIES , CAYLEY 4-FORM , AND HOMOTOPY (2007) (20)
Insecurity for compact surfaces of positive genus (2009) (19)
Differentiability of the stable norm in codimension one (2004) (19)
Trapping quasiminimizing submanifolds in spaces of negative curvature (1996) (18)
Laminations of 3-Tori by Least Area Surfaces (1990) (17)
Area growth and rigidity of surfaces without conjugate points (2012) (15)
Existence of a complex line in tame almost complex tori (1998) (15)
On the lengths of closed geodesics on almost round spheres (1986) (13)
Geodesics and totally convex sets on surfaces (1981) (12)
On the existence of escaping geodesics (1981) (12)
Minimal Foliations and Laminations (1995) (10)
Convex hypersurfaces with bounded first mean curvature measure (1999) (7)
Minimising currents and the stable norm in codimension one (2001) (7)
On the flatness of Riemannian cylinders without conjugate points (2010) (6)
ON 2-TORI HAVING A POLE (2010) (6)
Isoperimetric inequalities for minimal submanifolds in Riemannian manifolds: a counterexample in higher codimension (2010) (6)
Manifolds with geodesic chords of constant length (1983) (5)
Secure two-dimensional tori are flat (2008) (3)
Book Review: Jürgen Moser, selected chapters in the calculus of variations (2005) (3)
Non-closed isometry-invariant geodesics (2016) (3)
Insecurity for compact surfaces of positive genus: commentary (2012) (3)
Total curvature and the topology of complete surfaces (1980) (2)
An area bound for surfaces in Riemannian manifolds (2019) (2)
Calibrations and laminations (2016) (1)
Non-closed isometry-invariant geodesics (2016) (0)
Erratum to “On minimal laminations of the torus” (2022) (0)
Minimal geodesicsf (0)
Minimal geodesicsf (0)
A compact manifold with convex boundary that carries a complete, but no closed geodesic (2010) (0)
Hypersurfaces without Selfintersections in the Torus (1992) (0)
Book reviews (1993) (0)
A Riemannian plane with only two injective Geodesics (2022) (0)
Insecurity for compact surfaces of positive genus: commentary (2011) (0)
Isoperimetric inequalities for minimal submanifolds in Riemannian manifolds: a counterexample in higher codimension (2011) (0)
Riemannian cylinders without conjugate points and with subquadratic area growth are flat (2012) (0)

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What Schools Are Affiliated With Victor Bangert?

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Victor Bangert's Published Works

Published Works

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