Curvature and Generalized PHGs

2018 ◽  
Author(s):  
Ercüment H. Ortaçgil
Keyword(s):  
Projective Structure ◽  
Technical Assumption

Even though it is quite clear at this stage what curvature means, its technical definition turns out to be problematic, since it needs a technical assumption. However, this assumption forces a projective structure to be flat, and it becomes necessary to modify the approach adopted so far.

A Hodge theoretic projective structure on compact Riemann surfaces

2021 ◽  
Vol 149 ◽  
pp. 1-27
Author(s):  
Indranil Biswas ◽  
Elisabetta Colombo ◽  
Paola Frediani ◽  
Gian Pietro Pirola
Keyword(s):  
Riemann Surfaces ◽  
Projective Structure ◽  
Compact Riemann Surfaces

scholarly journals Optimal harvesting strategies of a stochastic competitive model with S-type distributed time delays and Lévy jumps

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Hong Qiu ◽  
Wenmin Deng ◽  
Mingqi Xiang
Keyword(s):  
Time Delays ◽  
Sufficient Conditions ◽  
Volterra Model ◽  
Optimal Harvesting ◽  
Ergodic Method ◽  
Technical Assumption ◽  
Distributed Time Delays ◽  
Competitive Model ◽  
The Stability ◽  
Lévy Jumps

AbstractThe aim of this paper is to investigate the optimal harvesting strategies of a stochastic competitive Lotka–Volterra model with S-type distributed time delays and Lévy jumps by using ergodic method. Firstly, the sufficient conditions for extinction and stable in the time average of each species are established under some suitable assumptions. Secondly, under a technical assumption, the stability in distribution of this model is proved. Then the sufficient and necessary criteria for the existence of optimal harvesting policy are established under the condition that all species are persistent. Moreover, the explicit expression of the optimal harvesting effort and the maximum of sustainable yield are given.

scholarly journals Notes on projective structures on complex manifolds

1989 ◽  
Vol 116 ◽  
pp. 63-88 ◽  
Author(s):  
Björn Gustafsson ◽  
Jaak Peetre
Keyword(s):  
Riemann Surface ◽  
Linear Transformation ◽  
Projective Structure ◽  
Complex Manifolds ◽  
Projective Structures ◽  
Fractional Linear Transformation ◽  
Local Coordinates

Consider a Riemann surface X equipped with a projective structure, that is, a covering of X with coordinate neighborhoods U and corresponding (holomorphic) local coordinates {t} such that in the intersection U ∩ U′ of any two such coordinate neighborhoods U and U′ change of local coordinates is mediated by a fractional linear transformation

scholarly journals QUANTIZATION OF A MODULI SPACE OF PARABOLIC HIGGS BUNDLES

2004 ◽  
Vol 15 (09) ◽  
pp. 907-917 ◽  
Author(s):  
INDRANIL BISWAS ◽  
AVIJIT MUKHERJEE
Keyword(s):  
Riemann Surface ◽  
Moduli Space ◽  
Symplectic Form ◽  
Dense Subset ◽  
Projective Structure ◽  
Open Dense Subset ◽  
Higgs Bundles ◽  
Smooth Variety ◽  
Structure Formula

Let [Formula: see text] be a moduli space of stable parabolic Higgs bundles of rank two over a Riemann surface X. It is a smooth variety defined over [Formula: see text] equipped with a holomorphic symplectic form. Fix a projective structure [Formula: see text] on X. Using [Formula: see text], we construct a quantization of a certain Zariski open dense subset of the symplectic variety [Formula: see text].

Einstein Condensation in a Macroscopic Field

1985 ◽  
Vol 40 (12) ◽  
pp. 1189-1198 ◽  
Author(s):  
Rainer Brendle
Keyword(s):  
Spatial Distribution ◽  
Thermodynamic Limit ◽  
External Potential ◽  
Einstein Condensation ◽  
Helium Film ◽  
Qualitative Explanation ◽  
Condensate Density ◽  
Technical Assumption ◽  
Arbitrary Potential

A new kind of thermodynamic limit is given for the model of an ideal Boson gas which scales the supports of the local Weyl operators into infinitesimal regions leaving the external potential fixed. A technical assumption in a paper of Davies on this subject is derived from geometrical arguments. The spatial distribution of the condensate density is calculated for an arbitrary potential being bounded from below. This is used for a simple qualitative explanation of the Helium film effect.

Projective structure from facial motion

2017 ◽  
Author(s):  
Stella Grashof ◽  
Hanno Ackermann ◽  
Felix Kuhnke ◽  
Jorn Ostermann ◽  
Sami S. Brandt
Keyword(s):  
Projective Structure ◽  
Facial Motion
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