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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]
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
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
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Criterion for connections on principal bundles over a pointed Riemann surface
We investigate connections, and more generally logarithmic connections, on holomorphic principal bundles over a compact connected Riemann surface.
Biswas Indranil
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Weakly uniform rank two vector bundles on multiprojective spaces [PDF]
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]
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]
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
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
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Group actions, non-Kähler complex manifolds and SKT structures
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
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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
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