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Perceived Importance and Bundles of Ecosystem Services in the Yangtze River Middle Reaches Megalopolis, China

open access: yesFrontiers in Environmental Science, 2021
In this study, a survey with 4,580 residents in the Yangtze River Middle Reaches Megalopolis, central China, was conducted to assess the perceived importance of local ESs.
Guanshi Zhang   +7 more
doaj   +1 more source

Equivariant Diffusions on Principal Bundles [PDF]

open access: yesAdvanced Studies in Pure Mathematics, 2010
Given a pair of second order diffusion operators, one on the total space of a principle bundle $N$ and the other on the base space $M$, intertwined by the projection $π:N\to M$, if the operator ${\mathcal A}$ on the base manifold has constant rank, we define a semi-connection on the principal bundle which allows to split the diffusion operator ...
Elworthy, K. D.   +2 more
openaire   +4 more sources

Fredholm conditions for operators invariant with respect to compact Lie group actions

open access: yesComptes Rendus. Mathématique, 2021
Let $G$ be a compact Lie group acting smoothly on a smooth, compact manifold $M$, let $P \in \psi ^m(M; E_0, E_1)$ be a $G$–invariant, classical pseudodifferential operator acting between sections of two $G$-equivariant vector bundles $E_i \rightarrow M$,
Baldare, Alexandre   +2 more
doaj   +1 more source

Criterion for connections on principal bundles over a pointed Riemann surface

open access: yesComplex Manifolds, 2017
We investigate connections, and more generally logarithmic connections, on holomorphic principal bundles over a compact connected Riemann surface.
Biswas Indranil
doaj   +1 more source

Weakly uniform rank two vector bundles on multiprojective spaces [PDF]

open access: yes, 2011
Here we classify the weakly uniform rank two vector bundles on multiprojective spaces. Moreover, we show that every rank r>2 weakly uniform vector bundle with splitting type a1,1=⋯=ar,s=0 is trivial and every rank r>2 uniform vector bundle with ...
Malaspina, Francesco   +5 more
core   +1 more source

Moduli spaces for principal bundles in arbitrary characteristic [PDF]

open access: yes, 2008
In this article, we solve the problem of constructing moduli spaces of semistable principal bundles (and singular versions of them) over smooth projective varieties over algebraically closed ground fields of positive ...
Gómez De Quiroga, Tomás Luis   +15 more
core   +1 more source

n-Tuple principal bundles [PDF]

open access: yesInternational Journal of Geometric Methods in Modern Physics, 2018
We develop the concept of a double (more generally [Formula: see text]-tuple) principal bundle departing from a compatibility condition for a principal action of a Lie group on a groupoid.
Katarzyna Grabowska, Janusz Grabowski
openaire   +2 more sources

Frames of Group Sets and Their Application in Bundle Theory

open access: yesMathematics
We study fiber bundles where the fibers are not a group G but a free G-space with disjoint orbits. The fibers are then not torsors but disjoint unions of these; hence, we like to call them semi-torsors.
Eric J. Pap, Holger Waalkens
doaj   +1 more source

Group actions, non-Kähler complex manifolds and SKT structures

open access: yesComplex Manifolds, 2018
We give a construction of integrable complex structures on the total space of a smooth principal bundle over a complex manifold, with an even dimensional compact Lie group as structure group, under certain conditions.
Poddar Mainak, Thakur Ajay Singh
doaj   +1 more source

Accounting for spatial autocorrelation is needed to avoid misidentifying trade-offs and bundles among ecosystem services

open access: yesEcological Indicators, 2021
The identification of relationships between multiple ecosystem services (ES) (i.e. trade-offs, synergies and bundles) is essential for ES management.
Shaikh Fairul Edros Ahmad Shaikh   +6 more
doaj   +1 more source

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