Results 51 to 60 of about 1,134,625 (212)
Type II degenerations of K3 surfaces of degree 4
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract We study Type II degenerations of K3 surfaces of degree 4 where the central fibre consists of two rational components glued along an elliptic curve. Such degenerations are called Tyurin degenerations. We construct explicit Tyurin degenerations corresponding to each of the 1‐dimensional boundary components of the Baily–Borel compactification of
James Matthew Jones
wiley +1 more source
Fortschritte der Physik, Volume 74, Issue 6, June 2026.ABSTRACT We present a clear, step‐by‐step method for counting degrees of freedom and identifying constraints in general field theories. This approach, grounded in the works of Einstein, Hilbert, Cartan, Kuranishi, and, more recently, Seiler, is neither Lagrangian nor Hamiltonian in nature. Instead, it applies directly to the field equations. We offer a
Lavinia Heisenberg
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Symplectification of rank 2 distributions, normal Cartan connections, and Cartan prolongations
Annales mathématiques du QuébecWe study the Doubrov--Zelenko symplectification procedure for rank $2$ distributions with $5$-dimensional cube -- originally motivated by optimal control theory -- through the lens of Tanaka--Morimoto theory for normal Cartan connections. In this way, for ambient manifolds of dimension $ n \geq 5 $, we prove the existence of the normal Cartan ...
Day, Nicklas +2 more
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Cartan Connection for h-Matsumoto change
, 2022 In the present paper, we have studied the Matsumoto change $\overline{L}(x,y)= \frac{L^{2}(x,y)}{L(x,y) - β(x,y)} $ with an \textsl{h-}vector $b_{i}(x,y)$. We have derived some fundamental tensors for this transformation. We have also obtained the necessary and sufficient condition for which the Cartan connection coefficients for both the spaces $F^{n}=
Gupta, M. K., Sahu, Abha, Sharma, Suman
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Einstein–Cartan–Dirac gravity with U(1) symmetry breaking
European Physical Journal C: Particles and Fields, 2019 Einstein–Cartan theory is an extension of the standard formulation of General Relativity where torsion (the antisymmetric part of the affine connection) is non-vanishing.
Francisco Cabral +2 more
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On the tightness of left‐invariant contact structures
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We prove that all left‐invariant contact structures on three‐dimensional Lie groups are tight. The argument is based on Riemannian methods and establishes a unique factorization property for any Lie group admitting a left‐invariant contact structure, other than SU(2)$\mathrm{SU}(2)$. We then make use of such factorization property to construct
Eugenio Bellini
wiley +1 more source
The Relation Between the Associate Almost Complex Structure to HM' and (HM',S,T)-Cartan Connections
Symmetry, Integrability and Geometry: Methods and Applications, 2006 In the present paper, the (HM',S,T)-Cartan connections on pseudo-Finsler manifolds, introduced by A. Bejancu and H.R. Farran, are obtained by the natural almost complex structure arising from the nonlinear connection HM'. We prove that the natural almost
Ebrahim Esrafilian +1 more
doaj
Centered planes in the projective connection space
Дифференциальная геометрия многообразий фигур, 2020 The space of centered planes is considered in the Cartan projective connection space . The space is important because it has connection with the Grassmann manifold, which plays an important role in geometry and topology, since it is the basic space ...
O.O. Belova
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On the cohomology of finite‐dimensional nilpotent groups and Lie rings
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
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