Interactions, Strings and Isotopies in Higher Order Anisotropic Superspaces

Abstract

The monograph summarizes the author's results on the geometry of anholonomic and locally anisotropic interactions, published in J. Math. Phys., Nucl. Phys. B, Ann. Phys. (NY), JHEP, Rep. Math. Phys., Int. J. Theor. Phys. and in some former Soviet Union and Romanian scientific journals. The main subjects are in the theory of field interactions, strings and diffusion processes on spaces, superspaces and isospaces with higher order anisotropy and inhomogeneity. The approach proceeds by developing the concept of higher order anisotropic (super)space which unifies the logical and manthematical aspects of modern Kaluza--Klein theories and generalized Lagrange and Finsler geometry and leads to modeling of physical processes on higher order fiber (super)bundles provided with nonlinear and distinguished connections and metric structures. This book can be also considered as a pedagogical survey on the mentioned subjects.

450 pages, Latex

References in corpus (7)

• Spinors in Higher Dimensional and Locally Anisotropic Spaces
• Nearly Autoparallel Maps, Tensor Integral and Conservation Laws in Locally Anisotrpoic Spaces
• Locally Anisotropic Interactions: I. Nonlinear Connections in Higher Order Anisotropic Superspaces
• Locally Anisotropic Interactions: III. Higher Order Anisotropic Supergravity
• Locally Anisotropic Interactions: II. Torsions and Curvatures of Higher Order Anisotropic Superspaces
• Studies on Santilli's Locally Anisotropic and Inhomogeneous Isogeometries: I. Isobundles and Generalized Isofinsler Gravity
• Interactions and Strings in Higher Order Anisotropic and Inhomogeneous Superspaces and Isospaces

Cited by in corpus (15)

• Fractional Dynamics from Einstein Gravity, General Solutions, and Black Holes
• Lagrange-Fedosov Nonholonomic Manifolds
• Curve Flows in Lagrange-Finsler Geometry, Bi-Hamiltonian Structures and Solitons
• Finsler-Lagrange Geometries and Standard Theories in Physics: New Methods in Einstein and String Gravity
• The Geometry Of Higher-Order Hamilton Spaces; Applications to Hamiltonian Mechanics
• (Non)Commutative Finsler Geometry from String/M--theory
• Exact Solutions in Locally Anisotropic Gravity and Strings
• Lagrangian and Hamiltonian Geometries. Applications to Analytical Mechanics
• Noncommutative Finsler Geometry, Gauge Fields and Gravity
• Nonholonomic Clifford Structures and Noncommutative Riemann--Finsler Geometry
• Diffusion and Self-Organized Criticality in Ricci Flow Evolution of Einstein and Finsler Spaces
• Nonlinear Connections and Clifford Structures
• On axiomatic formulation of gravity and matter field theories with MDRs and Finsler-Lagrange-Hamilton geometry on (co)tangent Lorentz bundles
• Nonholonomic Clifford and Finsler Structures, Non-Commutative Ricci Flows, and Mathematical Relativity
• Nonlinear Connections and Exact Solutions in Einstein and Extra Dimension Gravity