المؤلفون: Milkovszki, Tamás, Muzsnay, Zoltán

مصطلحات موضوعية: keyword:Euler-Lagrange equation, keyword:metrizability, keyword:projective metrizability, keyword:geodesics, keyword:spray, keyword:formal integrability, msc:49N45, msc:53C22, msc:53C60, msc:58E30

وصف الملف: application/pdf

Relation: mr:MR3661054; zbl:Zbl 06738532; reference:[1] Bácsó, S., Szilasi, Z.: On the projective theory of sprays.Acta Math. Acad. Paedagog. Nyházi. (N.S.) (electronic only) 26 (2010), 171-207. Zbl 1240.53047, MR 2754415; reference:[2] Bryant, R. L., Chern, S. S., Gardner, R. B., Goldschmidt, H. L., Griffiths, P. A.: Exterior Differential Systems.Mathematical Sciences Research Institute Publications 18, Springer, New York (1991). Zbl 0726.58002, MR 1083148, 10.1007/978-1-4613-9714-4; reference:[3] Bucataru, I., Milkovszki, T., Muzsnay, Z.: Invariant metrizability and projective metrizability on Lie groups and homogeneous spaces.Mediterr. J. Math. (2016), 4567-4580. Zbl 1356.53021, MR 3564521, 10.1007/s00009-016-0762-0; reference:[4] Bucataru, I., Muzsnay, Z.: Projective metrizability and formal integrability.SIGMA, Symmetry Integrability Geom. Methods Appl. (electronic only) 7 (2011), Paper 114, 22 pages. Zbl 1244.49072, MR 2861227, 10.3842/SIGMA.2011.114; reference:[5] Bucataru, I., Muzsnay, Z.: Projective and Finsler metrizability: parameterization-rigidity of the geodesics.Int. J. Math. 23 (2012), 1250099, 15 pages. Zbl 1263.53070, MR 2959445, 10.1142/S0129167X12500991; reference:[6] Crampin, M.: Isotropic and R-flat sprays.Houston J. Math. 33 (2007), 451-459. Zbl 1125.53012, MR 2308989; reference:[7] Crampin, M.: On the inverse problem for sprays.Publ. Math. 70 (2007), 319-335. Zbl 1127.53015, MR 2310654; reference:[8] Crampin, M.: Some remarks on the Finslerian version of Hilbert's fourth problem.Houston J. Math. 37 (2011), 369-391. Zbl 1228.53085, MR 2794554; reference:[9] Crampin, M., Mestdag, T., Saunders, D. J.: The multiplier approach to the projective Finsler metrizability problem.Differ. Geom. Appl. 30 (2012), 604-621. Zbl 1257.53105, MR 2996856, 10.1016/j.difgeo.2012.07.004; reference:[10] Crampin, M., Mestdag, T., Saunders, D. J.: Hilbert forms for a Finsler metrizable projective class of sprays.Differ. Geom. Appl. 31 (2013), 63-79. Zbl 1262.53064, MR 3010078, 10.1016/j.difgeo.2012.10.012; reference:[11] Do, T., Prince, G.: New progress in the inverse problem in the calculus of variations.Differ. Geom. Appl. 45 (2016), 148-179. Zbl 1333.37070, MR 3457392, 10.1016/j.difgeo.2016.01.005; reference:[12] Frölicher, A., Nijenhuis, A.: Theory of vector-valued differential forms. I: Derivations in the graded ring of differential forms.Nederl. Akad. Wet., Proc., Ser. A. 59 (1956), 338-359. Zbl 0079.37502, MR 0082554; reference:[13] Grifone, J., Muzsnay, Z.: Variational Principles for Second-Order Differential Equations. Application of the Spencer Theory to Characterize Variational Sprays.World Scientific Publishing, Singapore (2000). Zbl 1023.49027, MR 1769337, 10.1142/9789812813596; reference:[14] Klein, J., Voutier, A.: Formes extérieures génératrices de sprays.Ann. Inst. Fourier 18 French (1968), 241-260. Zbl 0181.49902, MR 0247599, 10.5802/aif.282; reference:[15] Matveev, V. S.: On projective equivalence and pointwise projective relation of Randers metrics.Int. J. Math. 23 (2012), 1250093, 14 pages. Zbl 1253.53018, MR 2959439, 10.1142/S0129167X12500930; reference:[16] Mestdag, T.: Finsler geodesics of Lagrangian systems through Routh reduction.Mediterr. J. Math. 13 (2016), 825-839. Zbl 1338.53103, MR 3483865, 10.1007/s00009-014-0505-z; reference:[17] Muzsnay, Z.: The Euler-Lagrange PDE and Finsler metrizability.Houston J. Math. 32 (2006), 79-98. Zbl 1113.53049, MR 2202354; reference:[18] Rapcsák, A.: Über die bahntreuen Abbildungen metrischer Räume.Publ. Math. German 8 (1961), 285-290. Zbl 0101.39901, MR 0138079; reference:[19] Sarlet, W., Thompson, G., Prince, G. E.: The inverse problem of the calculus of variations: The use of geometrical calculus in Douglas's analysis.Trans. Am. Math. Soc. 354 (2002), 2897-2919. Zbl 1038.37044, MR 1895208, 10.1090/S0002-9947-02-02994-X; reference:[20] Shen, Z.: Differential Geometry of Spray and Finsler Spaces.Kluwer Academic Publishers, Dordrecht (2001). Zbl 1009.53004, MR 1967666, 10.1007/978-94-015-9727-2; reference:[21] Szilasi, J., Lovas, R. L., Kertész, D. C.: Connections, Sprays and Finsler Structures.World Scientific Publishing, Hackensack (2014). Zbl 06171673, MR 3156183; reference:[22] Szilasi, J., Vattamány, S.: On the Finsler-metrizabilities of spray manifolds.Period. Math. Hung. 44 (2002), 81-100. Zbl 0997.53056, MR 1892276, 10.1023/A:1014928103275

الاتاحة: http://hdl.handle.net/10338.dmlcz/146769

المؤلفون: Arhangel'skii, A. V.

مصطلحات موضوعية: keyword:remainder, keyword:compactification, keyword:topological group, keyword:$p$-space, keyword:Lindelöf $p$-space, keyword:metrizability, keyword:countable type, keyword:Lindelöf space, keyword:pseudocompact space, keyword:$\pi $-base, msc:54A25, msc:54B05

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/119706

المؤلفون: Juhász, I., Szentmiklóssy, Z., Szymański, A.

مصطلحات موضوعية: keyword:metrizability number, keyword:Eberlein compactum, keyword:separating family, msc:54A15, msc:54A38, msc:54D10, msc:54D20, msc:54D30, msc:54E45

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/119659

المؤلفون: Heindorf, Lutz

مصطلحات موضوعية: keyword:Boolean algebra, keyword:subalgebra lattice, keyword:metrizability, msc:06E05, msc:54E35, msc:54H12

وصف الملف: application/pdf

Relation: mr:MR1440712; zbl:Zbl 0887.06007; reference:[1] Bonnet R.: Subalgebras.Chapter 10 in vol. 2 of: J. D. Monk (ed.) {Handbook of Boolean algebras}, North-Holland, Amsterdam, 1989. MR 0991598; reference:[2] Engelking R.: General Topology.PWN, Warsaw, 1977. Zbl 0684.54001, MR 0500780; reference:[3] Gruenhage G.: Covering properties on $X^2\setminus \Delta$, W-sets, and compact subsets of $\Sigma$-products.Topology and its Applications 17 (1978), 287-304. MR 0752278; reference:[4] Jech T.: A note on countable Boolean algebras.Algebra Universalis 14 (1982), 257-262. Zbl 0488.06007, MR 0635004; reference:[5] Koppelberg S.: General theory of Boolean algebras.vol 1. of: J. D. Monk (ed.) {Handbook of Boolean algebras}, North-Holland, Amsterdam, 1989. MR 0991565; reference:[6] Remmel J.B.: Complementation in the lattice of subalgebras of a Boolean algebra.Algebra Universalis 10 (1980), 48-64. Zbl 0432.06010, MR 0552156

الاتاحة: http://hdl.handle.net/10338.dmlcz/118889

المؤلفون: Kaiser, Tomáš

مصطلحات موضوعية: keyword:paracompactness (full normality), keyword:uniform locales, keyword:metrizability, msc:06D10, msc:54D20, msc:54E15

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/118840