Results 1 to 10 of about 495,346 (23)
Generalized Cheeger-Gromoll Metrics and the Hopf map [PDF]
, 2010 We show, using two different approaches, that there exists a family of Riemannian metrics on the tangent bundle of a two-sphere, which induces metrics of constant curvature on its unit tangent bundle.
Benyounes, M. +2 more
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p-Buchsbaum rank 2 bundles on the projective space [PDF]
, 2014 It has been proved by various authors that a normalized, 1-Buchsbaum rank 2 vector bundle on P3 is a nullcorrelation bundle, while a normalized, 2-Buchsbaum rank 2 vector bundle on P3 is an instanton bundle of charge 2.
Jardim, Marcos, Marchesi, Simone
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Trace formulae for curvature of Jet Bundles over planar domain
, 2013 For a domain \Omega in \mathbb{C} and an operator T in \mathcal{B}_n(\Omega), Cowen and Douglas construct a Hermitian holomorphic vector bundle E_T over \Omega corresponding to T.
Keshari, Dinesh Kumar
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A frame bundle generalization of multisymplectic field theories
, 1997 This paper presents a generalization of symplectic geometry to a principal bundle over the configuration space of a classical field. This bundle, the vertically adapted linear frame bundle, is obtained by breaking the symmetry of the full linear frame ...
Abraham +23 more
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Chern character in twisted K-theory: equivariant and holomorphic cases [PDF]
, 2002 It has been argued by Witten and others that in the presence of a nontrivial B-field, D-brane charges in type IIB string theories are measured by twisted K-theory.
Mathai, Varghese, Stevenson, Danny
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A Takayama-type extension theorem
, 2006 We prove a theorem on the extension of holomorphic sections of powers of adjoint bundles from submanifolds of complex codimension 1 having non-trivial normal bundle. The first such result, due to Takayama, considers the case where the canonical bundle is
Varolin, Dror
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Rates of Performance Loss and Neuromuscular Activity in Men and Women During Cycling: Evidence for A Common Metabolic Basis of Muscle Fatigue [PDF]
, 2017 The durations that muscular force and power outputs can be sustained until failure fall predictably on an exponential decline between an individual’s 3-s burst maximum to the maximum performance they can sustain aerobically.
Bundle, Matthew W. +2 more
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Stable Higgs bundles over positive principal elliptic fibrations
, 2018 Let $M$ be a compact complex manifold of dimension at least three and $\Pi : M\rightarrow X$ a positive principal elliptic fibration, where $X$ is a compact K\"ahler orbifold. Fix a preferred Hermitian metric on $M$.
Biswas, Indranil +2 more
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, 2003 We explain the bundle structures of the {\it Determinant line bundle} and the {\it Quillen determinant line bundle} considered on the connected component of the space of Fredholm operators including the identity operator in an intrinsic way. Then we show
Atiyah +6 more
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Can You hear the Shape of a Market? Geometric Arbitrage and Spectral Theory
, 2020 Geometric Arbitrage Theory reformulates a generic asset model possibly allowing for arbitrage by packaging all assets and their forwards dynamics into a stochastic principal fibre bundle, with a connection whose parallel transport encodes discounting and
Farinelli, Simone, Takada, Hideyuki
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