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pro vyhledávání: '"Miguel Brozos-vazquez"'
A central area of study in Differential Geometry is the examination of the relationship between the purely algebraic properties of the Riemann curvature tensor and the underlying geometric properties of the manifold. In this book, the findings of num
Autor:
Peter Gilkey, Miguel Brozos-Vázquez, Eduardo Garcia-Rio, Stana Nikčević, Ramón Vásquez-Lorenzo
This book, which focuses on the study of curvature, is an introduction to various aspects of pseudo-Riemannian geometry. We shall use Walker manifolds (pseudo-Riemannian manifolds which admit a non-trivial parallel null plane field) to exemplify some
Autor:
Miguel Brozos-Vázquez, Bernd Fiedler, Eduardo García-Río, Peter Gilkey, Stana Nikcevic, Grozio Stanilov, Yulian Tsankov, Ramón Vázquez-Lorenzo, Veselin Videv
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 3, p 095 (2007)
We survey some recent results concerning Stanilov-Tsankov-Videv theory, conformal Osserman geometry, and Walker geometry which relate algebraic properties of the curvature operator to the underlying geometry of the manifold.
Externí odkaz:
https://doaj.org/article/e774669d731846d09f1d6a39a40be46a
We study three-dimensional Lorentzian homogeneous Ricci solitons, proving the existence of shrinking, expanding and steady Ricci solitons. For all the non-trivial examples, the Ricci operator is not diagonalizable and has three equal eigenvalues.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19ab0311b45d4d58ef65f80e7efef103