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51 449 (0,195s)

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Area preserving geodesic curvature driven flow of closed curves on a surface

We investigate a non-local geometric flow preserving surface area enclosed by a curve on a given surface evolved in the normal direction by the geodesic curvature and the external force. We show how such a flow of ...

Pure mathematics

  • 2017
  • Jimp
  • Link
Result

On surface area and length preserving flows of closed curves on a given surface

In this paper we investigate two non-local geometric geodesic curvature driven flows of closed curves preserving either their enclosed surface area or their total of evolved curves on a surface to the underlying pl...

Applied mathematics

  • 2019
  • D
  • Link
Result

Modeling of Double Cross-Slip by Means of Geodesic Curvature Driven Flow

. The motion of a dislocation is described by the geodesic curvature driven flowon surfaces...

Materials engineering

  • 2018
  • Jimp
  • Link
Result

Almost geodesic mappings of affinely connected spaces that preserve the riemannian curvature

curvature tensor with respect to almost geodesic mappings of affinely connected spaces geodesic mappings of first type, when the Riemannian curvature tensor is invariant investigate almost geodesic mappin...

BA - Obecná matematika

  • 2015
  • Jx
  • Link
Result

Geodesic Mappings on Compact Riemannian Manifolds With Conditions on Sectional Curvature

We found new criteria for sectional curvatures on compact Riemannian manifolds for which geodesic mappings are affine, and, moreover,homothetic....

BA - Obecná matematika

  • 2013
  • Jx
  • Link
Result

Topics in mathematical modeling

The text is composed of chapters written by contributing coauthors and covers issues of the mean-curvature flow.

BA - Obecná matematika

  • 2008
  • B
Result

On Sinyukov's Equations in Their Relation to a Curvature Operator of Second Kind

Many authors have studied Riemannian manifolds admitting a geodesic mapping. Fundamental results of the theory of geodesic mapping were settled by Sinyukov. In the present paper we analyze the Sinykov equations of the geodesic

BA - Obecná matematika

  • 2014
  • C
  • Link
Result

On Sinyukov's Equations in Their Relation to a Curvature Operator of Second Kind

Many authors have studied Riemannian manifolds admitting a geodesic mapping. Fundamental results of the theory of geodesic mapping were settled by Sinyukov. In the present paper we analyze the Sinykov equations of the geodesic

BA - Obecná matematika

  • 2014
  • D
  • Link
Result

On geodesic maps of non-compact complete Riemannian manifolds

The Riemannian curvature tensor R of a Riemannian manifold (M; g) denes two kind curvature operators: the operator R of the rst kind acting on dierential 2 present paper we analyze the Sinykov equations of the geodesic mapp...

BA - Obecná matematika

  • 2012
  • Jx
Result

Geodesic mappings of (pseudo-) Riemannian manifolds preserve class of differentiability

In this paper, we prove that geodesic mappings of (pseudo-) Riemannian a nontrivial geodesic mapping onto a (pseudo-) Riemannian manifold, then its is an Einstein space. If a four-dimensional Einstein space with non-constant cur...

BA - Obecná matematika

  • 2013
  • Jx
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