Results 21 to 30 of about 414 (184)
Holonomy saddles and supersymmetry [PDF]
Physical Review D, 2018 66 pages; comments and references added, typos ...
Hwang, Chiung, Lee, Sungjay, Yi, Piljin
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Spin(7)-manifolds as generalized connected sums and 3d N=1 $$ \mathcal{N}=1 $$ theories
Journal of High Energy Physics, 2018 M-theory on compact eight-manifolds with Spin(7)-holonomy is a framework for geometric engineering of 3d N=1 $$ \mathcal{N}=1 $$ gauge theories coupled to gravity.
Andreas P. Braun, Sakura Schäfer-Nameki
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Journal of Geometry and Physics, 2004 Corrections made and some typographical errors ...
Carey, Alan +2 more
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Transverse Kähler holonomy in Sasaki Geometry and S-Stability
Complex Manifolds, 2021 We study the transverse Kähler holonomy groups on Sasaki manifolds (M, S) and their stability properties under transverse holomorphic deformations of the characteristic foliation by the Reeb vector field. In particular, we prove that when the first Betti
Boyer Charles P. +2 more
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Asymptotic expansion of holonomy [PDF]
Forum Mathematicum, 2018 Abstract Given a principal bundle with a connection, we look for an asymptotic expansion of the holonomy of a loop in terms of its length. This length is defined relative to some Riemannian or sub-Riemannian structure. We are able to give an asymptotic formula that is independent of choice of gauge.
Grong, Erlend, Pansu, Pierre
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, 2002 We estimate the eigenvalues of connection Laplacians in terms of the non-triviality of the holonomy.
Ballmann, Werner +2 more
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Invariants of germs of analytic differential equations in the complex plane
Anais da Academia Brasileira de Ciências, 2005 We study the classification of germs of differential equations in the complex plane giving a complete set of analytic invariants determining the analytic type of the underlying foliation. In particular we answer in affirmative a conjecture of S. Voronin,
Leonardo M. Câmara
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HOLONOMY AND SUBMANIFOLD GEOMETRY
, 2002 The article is a survey of applications of holonomy techniques to the study of submanifold geometry of spaces of constant curvature. The central tool is the normal holonomy theorem, proved by \textit{C. Olmos} in [Proc. Am. Math. Soc. 110, No. 3, 813--818 (1990; Zbl 0708.53023)].
DI SCALA, ANTONIO JOSE' +2 more
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On Holonomy and Homogeneous Spaces [PDF]
Nagoya Mathematical Journal, 1957 In general a homogeneous space admits many invariant affine connections. Among these are certain connections which appear in many ways to be more natural than the others. We refer to the connections which K. Nomizu in [4] calls canonical affine connections of the first kind.
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Holonomy operator for spin connection in twisted geometry
Physics Letters BIn this article we construct the holonomy operator for spin connection in (1+3)-dimensional LQG based on the twisted geometry. The starting point of the construction is to express the holonomy of the spin connection on a graph in terms of the twisted ...
Gaoping Long, Hongguang Liu
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