Studies on Santilli's Locally Anisotropic and Inhomogeneous Isogeometries: I. Isobundles and Generalized Isofinsler Gravity

Details Studies on Santilli's Locally Anisotropic and Inhomogeneous Isogeometries: I. Isobundles and Generalized Isofinsler Gravity Studies on Santilli's Locally Anisotropic and Inhomogeneous Isogeometries: I. Isobundles and Generalized Isofinsler Gravity

1997-04-19

arxiv.org/abs/physics/9704024v1

Physics

General Physics

47 pages, LaTex. In press at Algebras, Groups and Geometries, Vol. 14, 1997. For more information, please contact the Institut

Scientific paper

We generalize the geometry of Santilli's locally anisotropic and inhomogeneous isospaces to the geometry of vector isobundles provided with nonlinear and distinguished isoconnections and isometric structures. We present, apparently for the first time, the isotopies of Lagrange, Finsler and Kaluza--Klein spaces. We also continue the study of the interior, locally anisotropic and inhomogeneous gravitation by extending the isoriemannian space's constructions and presenting a geometric background for the theory of isofield interactions in generalized isolagrange and isofinsler spaces.

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