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D-Index & Metrics

Mathematics

D-Index
34
Citations
4114
World Ranking
2946
National Ranking
1190

Research.com Recognitions

  • 1983 - Fellow of Alfred P. Sloan Foundation

Overview

Wolfgang Ziller is affiliated with the University of Pennsylvania in the United States. Their research spans primarily the fields of Mathematics and Physics and Astronomy, with a notable focus on applied mathematics and geometry-related subfields.

The main topics covered in Ziller's scholarly work include:

  • Geometric Analysis and Curvature Flows
  • Advanced Differential Geometry Research
  • Geometry and complex manifolds
  • Geometric and Algebraic Topology
  • Point processes and geometric inequalities
  • Scoliosis diagnosis and treatment
  • Mathematics and Applications

Ziller's publication record shows a concentration in notable venues such as arXiv (Cornell University), Transformation Groups, the Journal of Differential Geometry, Annales Scientifiques de l'École Normale Supérieure, and Differential Geometry and its Applications.

Recent papers include:

  • SMOOTHNESS CONDITIONS IN COHOMOGENEITY ONE MANIFOLDS, 2020, Transformation Groups
  • Geodesic behavior for Finsler metrics of constant positive flag curvature on S2, 2021, Journal of Differential Geometry
  • ON THE RICCI ITERATION FOR HOMOGENEOUS METRICS ON SPHERES AND PROJECTIVE SPACES, 2020, Transformation Groups
  • Maniflods with conullity at most two as graph manifolds, 2020, Annales Scientifiques de l'École Normale Supérieure
  • The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups, 2021, Differential Geometry and its Applications

Ziller frequently collaborates with other researchers in the field. Key coauthors include:

  • Artem Pulemotov
  • Robert L. Bryant
  • Luis A. Florit
  • Luigi Verdiani
  • Romina M. Arroyo

Wolfgang Ziller's expertise is reflected in the breadth of subfields engaged, notably applied mathematics, geometry and topology, and astronomy and astrophysics. The blend of mathematical rigor and applications demonstrates their role in advancing knowledge across multiple intertwined disciplines.

Wolfgang Ziller was recognized as a Fellow of the Alfred P. Sloan Foundation in 1983.

Best Publications

  • Curvature and symmetry of Milnor spheres

    Karsten Grove;Wolfgang Ziller

  • Naturally reductive metrics and Einstein metrics on compact Lie groups

    J. E. D'Atri;Wolfgang Ziller

  • Existence and non-existence of homogeneous Einstein metrics

    McKenzie Y. Wang;Wolfgang Ziller

  • Homogeneous einstein metrics on spheres and projective spaces

    W. Ziller

  • Einstein metrics on principal torus bundles

    McKenzie Y. Wang;Wolfgang Ziller

  • On normal homogeneous Einstein manifolds

    McKenzie Y. Wang;Wolfgang Ziller

  • A variational approach for compact homogeneous Einstein manifolds

    Christoph Böhm;McKenzie Wang;Wolfgang Ziller

  • Cohomogeneity one manifolds with positive Ricci curvature

    Karsten Grove;Wolfgang Ziller

  • Geometry of the Katok examples

    Wolfgang Ziller

  • On the volume of a unit vector field on the three-sphere

    Herman Gluck;Wolfgang Ziller

  • Positively curved cohomogeneity one manifolds and 3-Sasakian geometry

    Karsten Grove;Burkhard Wilking;Wolfgang Ziller

  • Closed geodesics on positively curved manifolds

    Werner Ballmann;Gudlaugur Thorbergsson;Wolfgang Ziller

  • Examples of Riemannian Manifolds with non-negative sectional curvature

    Wolfgang Ziller

  • An Exotic $${T_{1}\mathbb{S}^4}$$ with Positive Curvature

    Karsten Grove;Luigi Verdiani;Wolfgang Ziller

  • On isotropy irreducible Riemannian manifolds

    McKenzie Wang;Wolfgang Ziller

  • The free loop space of globally symmetric spaces

    Wolfgang Ziller

  • Existence of closed geodesics on positively curved manifolds

    W. Ballmann;G. Thorbergsson;W. Ziller

  • The jacobi equation on naturally reductive compact Riemannian homogeneous spaces

    Wolfgang Ziller

  • Positively curved homogeneous metrics on spheres

    Luigi Verdiani;Wolfgang Ziller

  • EXISTENCE OF PERIODIC MOTIONS OF CONSERVATIVE SYSTEMS

    Herman Gluck;Wolfgang Ziller

  • Weakly symmetric spaces

    Wolfgang Ziller

Frequent Co-Authors

Karsten Grove
Karsten Grove University of Notre Dame
Robert L. Bryant
Robert L. Bryant Duke University

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