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Surface pencil pair interpolating Bertrand pair as common asymptotic curves in Galilean space G(3)

期刊: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021; 18 (07)

In this paper, we derive the necessary and sufficient conditions of surface pencil pair interpolating Bertrand pair as common asymptotic curves in Gal......

A nonisospectral integrable model of AKNS hierarchy and KN hierarchy, as well as its extended system

期刊: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021; 18 (10)

In this paper, we first introduce a nonisospectral problem associate with a loop algebra. Based on the nonisospectral problem, we deduce a nonisospect......

Embedded interior solutions of V ela X-1 model in f(tau, T) gravity

期刊: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021; 18 (08)

This article is based on the extension of Teleparallel Theory named f(tau, T) gravity, where the notions tau and T abbreviate the torsion trace term o......

General teleparallel modifications of Schwarzschild geometry Preface

期刊: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021; 18 (SUPP01)

Teleparallel theories of gravity are described in terms of the tetrad of a metric and a flat connection with torsion. In this paper, we study spherica......

Additional symmetries of the dispersionless extended noncommutative Gelfand-Dickey hierarchy

期刊: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021; 18 (09)

This paper aims at additional symmetries of the unextended and extended, commutative and noncommutative dispersionless Gelfand-Dickey (dGD) hierarchie......

Affine connections on singular warped products

期刊: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021; 18 (05)

In this paper, we introduce semi-symmetric metric Koszul forms and semi-symmetric non-metric Koszul forms on singular semi-Riemannian manifolds. Semi-......

Wormhole structures and energy conditions in f(R) gravity with hybrid shape functions

期刊: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021; 18 (05)

This paper discusses the possible wormhole solutions in modified f(R) gravity by employing the two hybrid shape functions i.e. b(epsilon) = r(0) log(r......

Novel extended Z(n)-Heisenberg ferromagnet models

期刊: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021; 18 (05)

In this paper, in terms of taking values in a commutative subalgebra Z(n) of Lie algebra gl(n, C), one establishes two novel extended Z(n)-Heisenberg ......

Cartan approach to Teleparallel Equivalent to General Relativity: A review

期刊: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021; 18 (SUPP01)

In previous works, questioning the mathematical nature of the connection in the translations gauge theory formulation of Teleparallel Equivalent to Ge......

Contextual extensions of quantum gravity models

期刊: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021; 18 (06)

We present a simple way of incorporating the structure of contextual extensions into quantum gravity models. The contextual extensions of C*-algebras,......

Stable wormhole models in general relativity under conformal symmetry

期刊: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021; 18 (3)

In this study, we shall explore conformal symmetry to examine the wormhole models by considering traceless fluid. In this regard, we shall take anisot......

Evolutes of the(n,m)-cusp mixed-type curves in the Lorentz-Minkowski plane

期刊: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021; 18 (1)

The evolute of a regular curve in the Lorentz-Minkowski plane is given by the locus of centers of osculating pseudo-circle of the base curve. But the ......

Singularities and dualities of pedal curves in pseudo-hyperbolic and de Sitter space

期刊: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021; 18 (1)

For the spherical unit speed nonlightlike curve in pseudo-hyperbolic space and de Sitter space gamma and a given point P, we can define naturally the ......

Holographic naturalness and topological phase transitions

期刊: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021; 18 (2)

We show that our Universe lives in a topological and non-perturbative vacuum state full of a large amount of hidden quantum hairs, the hairons. We wil......

Self-dual formulation of gravity in topological M-theory

期刊: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020; 17 (3)

Inspired by the low wave-length limit of topological M-theory, which re-constructs the theory of 3 + 1D gravity in the self-dual variables' formulatio......

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