Results 71 to 80 of about 20,711 (219)
The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time
The variational principle and the corresponding differential equation for geodesic circles in two dimensional (pseudo)-Riemannian space are being discovered.
Roman Ya. Matsyuk
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Seiberg-Witten Like Equations on Pseudo-Riemannian Spinc Manifolds with G2(2)∗ Structure
We consider 7-dimensional pseudo-Riemannian spinc manifolds with structure group G2(2)∗. On such manifolds, the space of 2-forms splits orthogonally into components Λ2M=Λ72⊕Λ142.
Nülifer Özdemir, Nedim Deǧirmenci
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Pseudo-Riemannian Symmetric Spaces of Signature (2, 2)
Abstract We study all four-dimensional simply-connected indecomposable non-semisimple pseudo-Riemannian symmetric spaces whose metric has signature (2, 2). We present models and compute their isometry groups. We solve the problem of the existence or non-existence of compact quotients by properly acting discrete subgroups of the isometry group.
Ines Kath, Matti Lyko
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SPACES OF CONFORMAL VECTOR FIELDS ON PSEUDO-RIEMANNIAN MANIFOLDS
The authors study pseudo-Riemannian manifolds \((M^n,g)\) which carry a space of closed conformal vector fields of at least 2-dimension. First they improve the global theorems of \textit{Y. Kerbrat} [J. Differ. Geom. 11, 547--571 (1976; Zbl 0356.53019)], under the condition that the span of the closed conformal vector fields at \(p\) is nondegenerate ...
Kim, Dong-Soo, Kim, Young Ho
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A Re‐Examination of Foundational Elements of Cosmology
ABSTRACT This paper undertakes a conceptual re‐examination of several foundational elements of cosmology through the lens of spacetime symmetries. A new derivation of the Friedmann–Lemaître–Robertson–Walker metric is obtained by a careful conceptual examination of rotations and translations on generic manifolds, followed by solving the rotational and ...
Lavinia Heisenberg
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Abstract We count and give a parametrization of connected components in the space of flags transverse to a given transverse pair in every flag varieties of SO0(p,q)$\operatorname{SO}_0(p,q)$. We compute the effect the involution of the unipotent radical has on those components and, using methods of Dey–Greenberg–Riestenberg, we show that for certain ...
Clarence Kineider, Roméo Troubat
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PSEUDO-RIEMANNIAN GEODESIC ORBIT METRICS ON CERTAIN COMPACT HOMOGENEOUS SPACES [PDF]
A pseudo-Riemannian metric is called geodesic orbit if its geodesics are the orbits of oneparameter subgroups of the group of isometries. In this paper, we study pseudo-Riemannian geodesic orbit metrics on compact homogeneous spaces.
Yan, Zaili, Li, Xiaosheng, An, Huihui
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Definition and Computation of Tensor‐Based Generalized Function Composition
ABSTRACT Functions are fundamental to mathematics as they offer a structured and analytical framework to express relations between variables. While scalar and matrix‐based functions are well‐established, higher‐order tensor‐based functions have not been as extensively explored.
Remy Boyer
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BLASCHKE'S PROBLEM FOR TIMELIKE SURFACES IN PSEUDO-RIEMANNIAN SPACE FORMS
We show that isothermic surfaces and S-Willmore surfaces are also the solutions to the corresponding Blaschke's problem for both spacelike and timelike surfaces in pseudo-Riemannian space forms.
PENG WANG
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Timelike duality, M′-theory and an exotic form of the Englert solution
Through timelike dualities, one can generate exotic versions of M-theory with different spacetime signatures. These are the M *-theory with signature (9, 2, −), the M′-theory, with signature (6, 5, +) and the theories with reversed signatures (1, 10, −),
Marc Henneaux, Arash Ranjbar
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