Results 171 to 180 of about 9,754 (219)
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Journal of Mathematical Sciences, 2002
The authors present a survey of Riemannian geometry that sketches the main developments in that subject through about 1985; no bibliographic references after that date exist. They begin with historical remarks and brief descriptions of the contributions of Lobachevski, Gauss, Riemann, F. Klein, E. Cartan, Ricci and Levi-Civita.
Trofimov, V. V., Fomenko, A. T.
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The authors present a survey of Riemannian geometry that sketches the main developments in that subject through about 1985; no bibliographic references after that date exist. They begin with historical remarks and brief descriptions of the contributions of Lobachevski, Gauss, Riemann, F. Klein, E. Cartan, Ricci and Levi-Civita.
Trofimov, V. V., Fomenko, A. T.
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, 1995 Spectral asymmetry and Riemannian Geometry.: I
Bulletin of the London Mathematical Society, 1973In Parts I and II of this paper ((4), (5)) we studied the ‘spectral asymmetry’ of certain elliptic self-adjoint operators arising in Riemannian geometry. More precisely, for any elliptic self-adjoint operator A on a compact manifold we definedwhere λ runs over the eigenvalues of A.
Atiyah, Michael F. +2 more
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1993
Abstract Developments in this field have been so extensive since the author's work Introduction to Differential Geometry that a new book with particular emphasis on recent work in Riemannian geometry is clearly necessary. This new work includes an elementary account of twistor spaces which will interest both applied mathematicians and ...
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Abstract Developments in this field have been so extensive since the author's work Introduction to Differential Geometry that a new book with particular emphasis on recent work in Riemannian geometry is clearly necessary. This new work includes an elementary account of twistor spaces which will interest both applied mathematicians and ...
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Homogeneous Riemannian Structures in Thurston Geometries and Contact Riemannian Geometries
International Electronic Journal of GeometryWe give explicit parametrizations for all the homogeneous Riemannian structures on model spaces of Thurston geometry. As an application, we give all the homogeneous contact metric structures on $3$-dimensional Sasakian space forms.
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Contributions to Riemannian Geometry in the Large
The Annals of Mathematics, 1959openaire +2 more sources