Arnasli Yahya

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math.MG2025

Decomposition method and upper bound density related to congruent saturated hyperball packings in hyperbolic $n -$ space

Arnasli Yahya, JenÅ Szirmai

In this paper, we study the problem of hyperball (hypersphere) packings in $n$ -dimensional hyperbolic space ( $n \geq 4$ ). We prove that to each $n$ -dimensional congruent saturated h…

math.MG2024

New lower bound for the optimal congruent geodesic ball packing density of screw motion groups in $H^{2} \times R$ space

Arnasli Yahya, JenÅ Szirmai

In this paper, we present a new record for the densest geodesic congruent ball packing configurations in $H^{2} \times R$ geometry, generated by screw motion grou…

math.MG2024

Geodesic ball packings generated by rotations and monotonicity behavior of their densities in $H^{2} \times R$ space

Arnasli Yahya, JenÅ Szirmai

After having investigated several types of geodesic ball packings in $S^{2} \times R$ space, in this paper we study the locally optimal geodesic of simply and multi…

Decomposition method and upper bound density related to congruent saturated hyperball packings in hyperbolic n−space

New lower bound for the optimal congruent geodesic ball packing density of screw motion groups in H2×R space

Geodesic ball packings generated by rotations and monotonicity behavior of their densities in H2×R space

Decomposition method and upper bound density related to congruent saturated hyperball packings in hyperbolic $n -$ space

New lower bound for the optimal congruent geodesic ball packing density of screw motion groups in $H^{2} \times R$ space

Geodesic ball packings generated by rotations and monotonicity behavior of their densities in $H^{2} \times R$ space