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Front Page FilomatPublisher: Faculty of Sciences and Mathematics, NišISSN: 0354-5180Issue: 37_25Date: 2023Journal Homepage

On m-point homogeneous polytopes in Euclidean spaces 8405 - 8424
Valeriĭ Nikolaevich Berestovskiĭ and Yuriĭ Gennadievich Nikonorov  
AbstractKeywords: Archimedean solid; Finite homogeneous metric space; Gosset polytope; m-point homogeneous metric space; Platonic solid; Point homogeneity degree; Regular polytope; Semiregular polytopeMSC: 52B15; 54E35; 20B05DOI: 10.2298/FIL2325405B
Pell and Pell-Lucas hybrid quaternions 8425 - 8434
Ferhat Kürüz and Ali Dağdeviren  
AbstractKeywords: Pell numbers; Pell-Lucas numbers; Hybrid numbers; Quaternions; Hybrid quaternionsMSC: 11B37; 11B39; 15A66DOI: 10.2298/FIL2325425K
Real hypersurfaces in S6(1) equipped with structure Jacobi operator satisfying LXl = ∇Xl 8435 - 8440
Djordje Kocić  
AbstractKeywords: Nearly Kähler manifolds; Real hypersurfaces; Structure Jacobi operator; Hopf hypersurfaces; Lie derivativeMSC: 53B25; 53B35DOI: 10.2298/FIL2325435K
A Generalization of complex, dual and hyperbolic quaternions: hybrid quaternions 8441 - 8454
Ali Dagdeviren  
AbstractKeywords: Real quaternions; Complex quaternions; Dual quaternions; Hyperbolic quaternionsMSC: 11R52; 15A63; 15A66DOI: 10.2298/FIL2325441D
The space of centered planes and generalized bilinear connection 8455 - 8464
Olga Belova  
AbstractKeywords: Projective space; Space of centered planes; Generalized bilinear connection; Curvature; torsion; Central projectionMSC: 53A20; 53B05; 53B15DOI: 10.2298/FIL2325455B
On the existence of a curvature tensor for given Jacobi operators 8465 - 8471
Vladica Andrejić and Katarina Lukić  
AbstractKeywords: Curvature tensor; Jacobi operators; Duality principle; Proportionality principleMSC: 53B20; 53B30DOI: 10.2298/FIL2325465A
On the geometry in the large of Hadamard manifolds 8473 - 8479
Sergey Stepanov and Irina Tsyganok  
AbstractKeywords: Hadamard manifold; Liouville-type theoremMSC: 53C21; 58J05DOI: 10.2298/FIL2325473S
Riemannian and sub-Riemannian structures on a cotangent bundle of Heisenberg group 8481 - 8488
Tijana Šukilović and Srdjan Vukmirović  
AbstractKeywords: Cotangent bundle; Heisenberg group; Left invariant metrics; Sub-Riemannian structures; GeodesicsMSC: 22E25; 53C17; 53C55DOI: 10.2298/FIL2325481S
Classification of second orders symmetric tensors on manifolds through an associated fourth order tensor 8489 - 8503
Graham Hall  
AbstractKeywords: Tensor classification; Neutral signatureMSC: 53C21DOI: 10.2298/FIL2325489H
Basic classes of timelike general rotational surfaces in the four-dimensional Minkowski space 8505 - 8519
Victoria Bencheva and Velichka Milousheva  
AbstractKeywords: General rotational surfaces; Minimal surfaces; Flat surfaces; Flat normal connection; Constant mean curvature; Parallel normalized mean curvature vector fieldMSC: 53B30; 53A35; 53B25DOI: 10.2298/FIL2325505B
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