A gradient-type deformation of conics and a class of Finslerian flows
References
- [1] https://en.wikipedia.org/wiki/Affine_manifold
- [2] Y. Akrami; T. S. Koivisto; A. R. Solomon, The nature of spacetime in bigravity: two metrics or none?, Gen. Relativity Gravitation, 47(2015), no. 1, Art. 1838, 6 pp. MR3284341
- [3] A. Bóna; M. A. Slawinski, Wavefronts and rays as characteristics and asymptotics, Hackensack, NJ: World Scientific, 2011. Zbl 1248.35001
- [4] O. Constantinescu; M. Crasmareanu, Examples of conics arising in two- dimensional Finsler and Lagrange geometries, An. Stiint. Univ. "Ovidius" Constanta Ser. Mat., 17(2009), no. 2, 45-59. MR2561008 (2010j:53031)
- [5] B. Chow, P. Lu, L. Ni, Hamilton's Ricci ow, Graduate Studies in Mathematics, 77, A.M.S. Providence, RI; Science Press, New York, 2006. MR2274812 (2008a:53068)
- [6] M. Crasmareanu, New tools in Finsler geometry: stretch and Ricci soli- tons, Math. Rep. (Bucur.), 16(66)(2014), no. 1, 83-93. MR3304401
- [7] M. Crasmareanu; M. Kitayama, Transformations of generalized Lagrange metrics, Tensor, 62(2000), no. 2, 167-175. Zbl 1121.53309
- [8] S.-L. Eriksson; H. Orelma, Hyperbolic Laplace operator and the Weinstein equation in R3, Adv. Appl. Cliórd Algebr., 24(2014), no. 1, 109-124. MR3167591
- [9] R. Miron, Sur les connexions pseudo-Euclidiennes des espaces de Finsler _a m_etrique ind_e_nie, Acad. R. P. Române Fil. Iasi Stud. Cerc. Sti. Mat., 12(1961) 125-134. MR0131853 (24 #A1700)
- [10] R. Miron; M. Anastasiei, The geometry of Lagrange spaces: theory and ap- plications, Kluwer Academic Publishers, FTPH no. 59, 1994. MR1281613 (95f:53120)
- [11] R. Miron; D. Brânzei, Backgrounds of arithmetic and geometry, Series in Pure Mathematics, 23, World Scientific Publishing Co. Inc., River Edge, NJ, 1995. MR1412145 (97j:51001)
- [12] R. Miron; B. T. Hassan, Gravitation and electromagnetism in Finsler- Lagrange spaces with (_; _)-metrics, Tensor, 73(2011), no. 1, 75-86. MR2986316
- [13] P. Petersen, Riemannian geometry, Second edition. Graduate Texts in Mathematics, 171, Springer, New York, 2006. MR2243772 (2007a:53001)
- [14] V. Rovenski, Modeling of curves and surfaces with MATLAB, Springer Undergraduate Texts in Mathematics and Technology, Springer Berlin, 2010. Zbl 1206.65061
- [15] J. Skakala; M. Visser, The causal structure of spacetime is a parameterized Randers geometry, Classical Quantum Gravity, 28(2011), no. 6, 065007, 7 pp. MR2773467 (2012d:53065)
- [16] J. Skakala; M. Visser, Bi-metric pseudo-Finslerian spacetimes, J. Geom. Phys., 61(2011), no. 8, 1396-1400. MR2802480 (2012e:53143)
Language: English
Page range: 85 - 99
Submitted on: Jun 1, 2016
Accepted on: Jun 27, 2016
Published on: Sep 21, 2017
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year
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© 2017 Mircea Crasmareanu, published by Ovidius University of Constanta
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