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ON DARBOUX SURFACES IN A RIEMANNIAN SPACE

Mathematics of the USSR-Sbornik, 1972
A class of surfaces is defined in Riemannian space V3 for which the system of equations for infinitesimal bending reduces to the simplest form. Certain properties of such surfaces are established. Bibliography: 4 items.
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Generalised geodesics in a Riemannian space

Bulletin de la Classe des sciences, 1967
Asymptotic lines of order p have been defined by Hayden in [1]. In this paper we define geodesies of order p, investigate their properties and establish their relationship with the asymptotic lines of order p.
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The Riemannian Space of Kähler Metrics

2011
The goal of this lecture is to describe the Riemannian structure on the space of Kahler metrics (in a fixed cohomology class) on a compact complex manifold which was proposed by Mabuchi [Mab87] and further stud- ied by Semmes [Sem92], Donaldson [Don99], Chen and Calabi [Che00,CC02].
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Riemannian space

2004
Wit de Bernard   +24 more
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Lagrangians in Riemannian Spaces

2001
A Riemannian structure on a smooth n-dimensional manifold X is a smooth Euclidean metric on the tangent bundle τ X , in other words, a tensor field g of type (2,0) on X such that for any point p ∈ X the bilinear functional g p on the linear space T p X is an inner product (is symmetric and positive definite).
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