Complex Lie algebroids and Finsler manifold in time-dependent fractal dimension and their associated decomplexifications
DOI10.1016/j.difgeo.2021.101775zbMath1480.58008OpenAlexW3165578159WikidataQ115354544 ScholiaQ115354544MaRDI QIDQ2041096
Publication date: 15 July 2021
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.difgeo.2021.101775
Poisson manifolds; Poisson groupoids and algebroids (53D17) Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05) Variational principles of physics (49S05) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Fractional ordinary differential equations (34A08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional variational approach with non-standard power-law degenerate Lagrangians and a generalized derivative operator
- Fractional variational symmetries of Lagrangians, the fractional Galilean transformation and the modified Schrödinger equation
- Fractional complexified field theory from Saxena-Kumbhat fractional integral, fractional derivative of order (\(\alpha, \beta\)) and dynamical fractional integral exponent
- A remark on the orbit structure of the complexification of a semisimple symmetric space
- Fractional calculus of variations in terms of a generalized fractional integral with applications to physics
- A periodic functional approach to the calculus of variations and the problem of time-dependent damped harmonic oscillators
- Fractional action-like variational problems in holonomic, non-holonomic and semi-holonomic constrained and dissipative dynamical systems
- Fractional Dirac operators and deformed field theory on Clifford algebra
- The structure equations of a complex Finsler manifold
- A groupoid approach to quantization
- On the Jacobi last multiplier, integrating factors and the Lagrangian formulation of differential equations of the Painlevé-Gambier classification
- Groupoids and the integration of Lie algebroids
- The variable-order fractional calculus of variations
- Connections on the total space of a holomorphic Lie algebroid
- Holomorphic sectional curvature of complex Finsler manifolds
- Two quantization approaches to the Bateman oscillator model
- Formulation of Euler-Lagrange equations for fractional variational problems
- Geometry of fractional spaces
- Path integral formulation of fractionally perturbed Lagrangian oscillators on fractal
- Fractional calculus of variations: a novel way to look at it
- Measures on differentiable stacks
- Lie algebroids in classical mechanics and optimal control
- Fractional oscillators from non-standard Lagrangians and time-dependent fractional exponent
- Lie groupoids and Lie algebroids in physics and noncommutative geometry
- Extended fractional calculus of variations, complexified geodesics and Wong's fractional equations on complex plane and on Lie algebroids
- Variable-Order Fractional Operators for Adaptive Order and Parameter Estimation
- TWO NEW PROOFS OF THE COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE PSI FUNCTION
- Variable Order Fractional Controllers
- On Dissipative Systems and Related Variational Principles
- The variable viscoelasticity oscillator
- Lie Algebroids and Lie Pseudoalgebras
- Schwinger’s picture of quantum mechanics I: Groupoids
- Advances in Fractional Calculus
- Variational problems with fractional derivatives: Euler–Lagrange equations
- A SURVEY OF LAGRANGIAN MECHANICS AND CONTROL ON LIE ALGEBROIDS AND GROUPOIDS
- Fractional actionlike variational problems
- WAVE EQUATION FOR FRACTAL SOLID STRING
- On Field Theories with Non-Localized Action
- Lagrangian mechanics on Lie algebroids
This page was built for publication: Complex Lie algebroids and Finsler manifold in time-dependent fractal dimension and their associated decomplexifications
