Least area of-the image of a multiconnected domain in the class of p-sheeted conformal mappings

1981 ◽  
Vol 30 (6) ◽  
pp. 903-906
Author(s):  
Yu. E. Alenitsyn
Keyword(s):  
Conformal Mappings ◽  
Multiconnected Domain ◽  
Least Area

scholarly journals Conformal mapping of the Misner–Sharp mass from gravitational collapse

2016 ◽  
Vol 25 (07) ◽  
pp. 1650081 ◽  
Author(s):  
Fayçal Hammad
Keyword(s):  
Conformal Mapping ◽  
Gravitational Collapse ◽  
Conformal Transformation ◽  
Conformal Mappings ◽  
Conformal Transformations ◽  
Theories Of Gravity ◽  
Definition Of ◽  
Geometric Definition

The conformal transformation of the Misner–Sharp mass is reexamined. It has recently been found that this mass does not transform like usual masses do under conformal mappings of spacetime. We show that when it comes to conformal transformations, the widely used geometric definition of the Misner–Sharp mass is fundamentally different from the original conception of the latter. Indeed, when working within the full hydrodynamic setup that gave rise to that mass, i.e. the physics of gravitational collapse, the familiar conformal transformation of a usual mass is recovered. The case of scalar–tensor theories of gravity is also examined.

Conformal mappings of a once-holed torus

1995 ◽  
Vol 66 (1) ◽  
pp. 117-136 ◽  
Author(s):  
Makoto Masumoto
Keyword(s):  
Conformal Mappings

Conformal mappings of the disk onto convex domains

1992 ◽  
Vol 44 (10) ◽  
pp. 1217-1223
Author(s):  
V. Ya. Gutlyanskii ◽  
S. A. Kopanev
Keyword(s):  
Conformal Mappings ◽  
Convex Domains

scholarly journals Identifying Dominant Runoff Processes at a Regional Scale – A GIS - Based Approach

2017 ◽  
Vol 11 (2) ◽  
pp. 19-33
Author(s):  
Fagbohun Babatunde Joseph ◽  
Olabode Oluwaseun Franklin ◽  
Adebola Abiodun Olufemi
Keyword(s):  
Overland Flow ◽  
Expert Knowledge ◽  
Regional Scale ◽  
Field Investigation ◽  
Deep Percolation ◽  
Flood Prediction ◽  
Percolation Process ◽  
Least Area ◽  
Expected Increase

Abstract Identifying landscapes with similar hydrological characteristics is useful for the determination of dominant runoff process (DRP) and flood prediction. Several approaches used for DRP-mapping differ in respect to time and data requirement. Manual approaches based on field investigation and expert knowledge are time consuming and difficult to implement at regional scale. Automatic GIS-based approach on the other hand require simplification of data but are easier to implement and it is applicable on regional scale. In this study, GIS-based automated approach was used to identify the DRPs in Anambra area. The result showed that Hortonian Overland Flow (HOF) has the highest coverage of 1508.3 Km2 (33.5%) followed by Deep Percolation (DP) with coverage of 1455.3 Km2 (32.3%). Subsurface Flow (SSF) is the third dominant runoff process covering 920.6 Km2 (20.4%) while Saturated Overland Flow (SOF) covers the least area of 618.4 Km2 (13.7%) of the study area. The result reveal that considerable amount of precipitated water would be infiltrated into the subsurface through deep percolation process contributing to groundwater recharge in the study area. However, it is envisaged that HOF and SOF will continue to increase due to the continuous expansion of built-up area. With the expected increase in HOF and SOF and the change in rainfall pattern associated with perpetual problem of climate change, it is paramount that groundwater conservation practices be considered to ensure continued sustainable utilization of groundwater in the study area.

An approximation of conformal mappings on smooth domains

2013 ◽  
Vol 58 (6) ◽  
pp. 741-750
Author(s):  
Burcin Oktay ◽  
Daniyal M. Israfilov
Keyword(s):  
Conformal Mappings

scholarly journals Minimal hypersurfaces of least area

2017 ◽  
Vol 106 (2) ◽  
pp. 283-316 ◽  
Author(s):  
Laurent Mazet ◽  
Harold Rosenberg
Keyword(s):  
Minimal Hypersurfaces ◽  
Least Area
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