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- Novosibirsk State UniversityRU18 papers
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11 papers · 1 filter
On conformal Killing symmetric tensor fields on Riemannian manifolds
Nurlan S. Dairbekov, Vladimir A. Sharafutdinov
A vector field on a Riemannian manifold is called conformal Killing if it generates one-parameter group of conformal transformations. The class of conformal Killing symmetric tenso…
The classification of -homogeneous Riemannian manifolds with positive Euler characteristic
V. N. Berestovskii, E. V. Nikitenko, Yu. G. Nikonorov
The authors give a short survey of previous results on -homogeneous Riemannian manifolds, forming a new proper subclass of geodesic orbit spaces with non-negative sectional curv…
On the total mean curvature of non-rigid surfaces
Victor Alexandrov
Using Green's theorem we reduce the variation of the total mean curvature of a smooth surface in the Euclidean 3-space to a line integral of a special vector field and obtain the f…
Special Kahler Metrics on Complex Line Bundles and the Geometry of -Surfaces
Yaroslav V. Bazaikin
We construct metrics with the holonomy group SU(2) on the tangent bundles of weighted complex projective lines and give a geometric description of the moduli space of special Kahle…
Clifford-Wolf homogeneous Riemannian manifolds
V. N. Berestovskii, Yu. G. Nikonorov
In this paper, using connections between Clifford-Wolf isometries and Killing vector fields of constant length on a given Riemannian manifold, we classify simply connected Clifford…
Infinitesimal Darboux transformations of the spectral curves of tori in the four-space
P. G. Grinevich, I. A. Taimanov
We study the action of conformal transformations of the ambient space on the Dirac operator coming into the Weierstrass (or spinor) representation of a torus in the Euclidean four-…