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Front Page FilomatPublisher: Faculty of Sciences and Mathematics, NišISSN: 0354-5180Issue: 29_3Date: 2015Journal Homepage

Curvature Properties of some Class of Minimal Hypersurfaces in Euclidean Spaces 479 - 492
Ryszard Deszcza, Małgorzata Głogowska, Miroslava Petrović-Torgašev and Leopold Verstraelen  
AbstractKeywords: minimal hypersurface; 2-quasi-umbilical hypersurface; biharmonic hypersurface; Clifford torus; Clifford hypersurface; 2-quasi-Einstein manifold; manifold with pseudosymmetric Weyl tensor; Roter type manifold; Tachibana tensorMSC: 53B20; 53B30; 53B50; 53C25DOI: 10.2298/FIL1503479D
Intrinsic Equations for a Relaxed Elastic Line of Second Kind in Minkowski 3-Space 493 - 505
Ergin Bayram and Emin Kasap  
AbstractKeywords: calculus of variations; Minkowski 3-space;elastic lineMSC: 51B20; 53A35 53B30DOI: 10.2298/FIL1503493B
Local Classification and Examples of an Important Class of Paracontact Metric Manifolds 507 - 515
Verónica Martín-Molina  
AbstractKeywords: paracontact metric manifold; ($\kappa;\mu$)-spaces; paraSasakian; contact metric; nullity distributionMSC: 53C15; 53B30 53C25; 53C50DOI: 10.2298/FIL1503507M
On the Existence of Isoperimetric Extremals of Rotation and the Fundamental Equations of Rotary Diffeomorphisms 517 - 523
Josef Mikeš, Martin Sochor and Elena Stepanova  
AbstractKeywords: isoperimetric extremals; rotary diffeomorphism; Riemannian manifold; smoothness classMSC: 53A05 53B20; 53B30; 53B50DOI: 10.2298/FIL1503517M
Conformal Mappings of Quasi-Einstein Manifolds Admitting Special Vector Fields 525 - 534
Bahar Kırık and Füsun Özen Zengin  
AbstractKeywords: Quasi-Einstein manifold; $\varphi$(Ric)-vector field; concircular vector field; Codazzi tensorMSC: 53B20 53C25DOI: 10.2298/FIL1503525K
Finslerian-Type GAF Extensions of the Riemannian Framework in Digital Image Processing 535 - 543
Vladimir Balan and Jelena Stojanov  
AbstractKeywords: image processing; Polyakov action; Beltrami flow; surface evolution; Finsler structure; Randers metricMSC: 53B40 53C60; 53C44DOI: 10.2298/FIL1503535B
Psychology and Geometry I. on the Geometry of the Human Kind 545 - 552
Leopold Verstraelen  
AbstractKeywords: Riemannian manifolds; pseudo Riemannian manifolds; Geometry of submanifoldsMSC: 53B20; 53B25; 53B30DOI: 10.2298/FIL1503545V
A Note About the Torsion of Null Curves in the 3-Dimensional Minkowski Spacetime and the Schwarzian Derivative 553 - 561
Zbigniew Olszaka  
AbstractKeywords: Minkowski spacetime of dimension 3; null curve; light-like curve; torsion of a curve; null helix; slant helix; Airy function; Schwarzian derivativeMSC: 53A35 53B30; 53B50; 53C50DOI: 10.2298/FIL1503553O
Four-Dimensional, Ricci-Flat Manifolds Which Admit a Metric 563 - 571
Graham Hall  
AbstractMSC: 53C05 53C29; 53C50DOI: 10.2298/FIL1503563H
Some Properties of Et-Projective Tensors Obtained from Weyl Projective Tensor 573 - 584
Mića S. Stanković, Milan Lj. Zlatanović and Nenad O. Vesić  
AbstractKeywords: geodesic mapping; invariant; curvature tensor; projective curvature tensor; flatnessMSC: 53B05DOI: 10.2298/FIL1503573S
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