This journal publishes short communications, research and review articles devoted to all applications of geometric methods (including commutative and non-commutative Differential Geometry, Riemannian Geometry, Finsler Geometry, Complex Geometry, Lie Groups and Lie Algebras, Bundle Theory, Homology an Cohomology, Algebraic Geometry, Global Analysis, Category Theory, Operator Algebra and Topology) in all fields of Mathematical and Theoretical Physics, including in particular: Classical Mechanics (Lagrangian, Hamiltonian, Poisson formulations); Quantum Mechanics (also semi-classical approximations); Hamiltonian Systems of ODE's and PDE's and Integrability; Variational Structures of Physics and Conservation Laws; Thermodynamics of Systems and Continua (also Quantum Thermodynamics and Statistical Physics); General Relativity and other Geometric Theories of Gravitation; geometric models for Particle Physics; Supergravity and Supersymmetric Field Theories; Classical and Quantum Field Theory (also quantization over curved backgrounds); Gauge Theories; Topological Field Theories; Strings, Branes and Extended Objects Theory; Holography; Quantum Gravity, Loop Quantum Gravity and Quantum Cosmology; applications of Quantum Groups; Quantum Computation; Control Theory; Geometry of Chaos.
这本杂志发表简短的通讯，研究和评论文章，致力于所有应用的几何方法（包括交换和非交换微分几何、黎曼几何、芬斯勒几何、复几何、李群和李代数、丛理论、同调和上同调、代数几何、整体分析、范畴论、算子代数和拓扑）在数学和理论物理的所有领域，特别包括：经典力学（拉格朗日、哈密顿、泊松公式）;量子力学（也称半经典近似）;常微分方程和偏微分方程的Hamilton系统及其可积性物理学的变分结构与守恒定律系统热力学和连续统（也称量子热力学和统计物理学）;广义相对论与其他引力几何理论粒子物理学的几何模型;超引力与超对称场论经典场论和量子场论（也包括弯曲背景上的量子化）;规范理论拓扑场论;弦、膜和扩展对象理论;全息照相术量子引力、圈量子引力与量子宇宙学量子群的应用;量子计算;控制理论;混沌的几何学。
On the corpuscular theory of gravity
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819300010
Schwinger’s picture of quantum mechanics III: The statistical interpretation
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819501652
Bulk Viscous Cosmological model in f(R, T) theory of gravity
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500051
Energy content of a collapsing sphere with f(R) gravity
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500415
Exact exponential cosmological solutions with two factor spaces of dimension m in EGB model with a Λ-term
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/s0219887819500257
η-Ricci solitons and almost η-Ricci solitons on para-Sasakian manifolds
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819501342
Geometry, Zitterbewegung, quantization
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819501469
Ricci curvature on warped product submanifolds of complex space forms and its applications
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819501421
A quantum ring in a nanosphere
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819501676
Lie symmetry reductions and dynamics of solitary wave solutions of breaking soliton equation
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S021988781950110X
A class of Finsler spaces with general (α,β)-metrics
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819501020
Dynamical analysis of anisotropic cosmological model with quadratic dark sector coupling
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500233
Symmetries and conservation laws of some asymptotically symmetric spacetimes of interest in gravitational waves
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819501524
Theoretical study of interaction between matter and curvature fluid in the theory of f(R)-gravity: Diffusion and friction
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500452
Left-invariant almost α-coKähler structures on 3D semidirect product Lie groups
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500117
Bi-warped product submanifolds of Kenmotsu manifolds and their applications
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500014
Complete linear Weingarten spacelike submanifolds with higher codimension in the de Sitter space
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500506
Quaternionic representation of electromagnetism for material media
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819501056
Universe with wet dark fluid: A dynamical systems approach
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819501275
Nonperturbative thermodynamic geometry of nonextensive statistics
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500695
Transit cosmological models in FRW universe under the two-fluid scenario
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500075
Cosmology of viscous holographic f(G) gravity and consequences in the framework of quintessence scalar field
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/s0219887819501767
Modeling the dynamics of black holes through balanced equations of motion
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500348
Observational constraints of emergent universe in brane-world with Gauss–Bonnet term and dissipative effect
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/s021988781950169x
Isotropic Lifshitz Scaling in four dimensions
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S021988782050053X
Formal aspects of non-perturbative Quantum Field Theory via an operator theoretic setting
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/s0219887819501925
The negativity of partial transpose versus the negativity of Wigner function
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819300034
Exactness of Lepage 2-forms and globally variational differential equations
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819501068
An effective-gravity perspective on the Sun–Jupiter–comet three-body system
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887820501686
A new approach for inextensible flows of binormal spherical indicatrices of magnetic curves
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500208
Some interactions of spherically symmetric massive scalar field with Brans–Dicke scalar field in Robertson–Walker universe
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S021988781950066X
Tangent bimagnetic curves in terms of inextensible flows in space
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S021988781950018X
Geometric and physical characteristics of mixed super quasi-Einstein manifolds
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819501044
Information loss in black holes due to transition point
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500269
On the one-parameter Lorentzian spatial motions
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/s0219887819501974
Beyond general relativity models, magnetosphere structure and dark matter stars
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500646
Optimal systems and their group-invariant solutions to geodesic equations
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819501354
Dynamics of anisotropic cosmic models with different matter sources in extended scalar-tensor theory
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/s0219887819501901
Remarks about the Kaluza-Klein metric on tangent bundle
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500403
Universal thermodynamics in inhomogeneous FLRW-type model: Thermal equilibrium
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500749
GARCH in spinor field
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500993
Gödel-type universe in f(R,G) gravity
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/s0219887819501883
A note on noncommutative Einstein–Hilbert action
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/s0219887819501664
Stability of generalized polytropic models
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500567
The construction of the space-like surface of constant breadth
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500609
Solution of fractional oscillator equations using ultraspherical wavelets
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500750
Bounding f(R,T) gravity by particle creation
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819501536
A new characterization for classical Bernoulli–Euler elastic curves in Rn
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819501032
Some results on normal GCR-lightlike submanifolds of indefinite nearly Kaehler manifolds
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819500373
Blaschke Finsler metrics on spheres
来源期刊：International Journal of Geometric Methods in Modern PhysicsDOI：10.1142/S0219887819501378
