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17 results on '"Abbas, Sameer Annon"'

2. ON GENERALIZED DOUGLAS CURVATURE OF FINSLER METRICS.

Author

ABBAS, SAMEER ANNON and KOZMA, LÁSZLÓ

Subjects
CURVATURE, GEOMETRY
Abstract

One of the important quantities in Finsler geometry is Douglas' curvature which is an invariant tensor by a projective change ϕ: F → F. The aim of this paper is to study a class of Finsler metrics that includes the classes of Douglas metrics. Finsler metrics in this class are known as generalized Douglas metrics. We prove that every generalized Douglas metric with vanishing eB-stretch tensor is a Douglas metric under the condition that the mean Berwald curvature is horizontally constant along geodesics of F. Then, we show that if (M, F) is a Douglas Finsler manifold then the Finsler metric F is an H-stretch metric if and only if it is aeB-metric. [ABSTRACT FROM AUTHOR]

Published
2023

3. ISOMETRY GROUPS OF SIX-DIMENSIONAL FILIFORM NILMANIFOLDS.

Author

FIGULA, ÁGOTA and ABBAS, SAMEER ANNON

Subjects
*LIE groups, *NILPOTENT Lie groups, *LIE algebras
Abstract

In this paper, we classify up to isometry the connected and simply connected Riemannian nilmanifolds on six-dimensional filiform Lie groups and we compute the corresponding isometry groups. [ABSTRACT FROM AUTHOR]

Published
2023
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10. On New Classes of Stretch Finsler Metrics.

Author

Abbas, Sameer Annon and Kozma, László

Subjects
CURVATURE, RIEMANNIAN geometry, RIEMANNIAN manifolds, FINSLER spaces, DIFFERENTIAL geometry
Abstract

In this paper, we introduce two classes of stretch Finsler metrics. A Finsler metric with vanishing stretch B-curvature (stretch H-curvature) is called B-stretch (H-stretch) metric (respectively). The class of B-stretch (H-stretch) metric contain the class of Berwald (weakly Berwald) metric (respectively). First, we show that every complete B-stretch metric (H-stretch metric) is a B-metric (H-metric). Then we prove that every compact Finsler manifold with non-negative (non-positive) relatively isotropic stretch B-curvature (stretch H-curvature) is B-metric (H-metric). [ABSTRACT FROM AUTHOR]

Published
2022
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