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

scholarly journals Embeddedness of least area minimal hypersurfaces

2018 ◽  
Vol 110 (2) ◽  
pp. 345-377 ◽  
Author(s):  
Antoine Song
Keyword(s):  
Minimal Hypersurfaces ◽  
Least Area

O(m) � O(n)-Invariant Minimal Hypersurfaces in $\mathbb{R}$ m+n

2005 ◽  
Vol 27 (2) ◽  
pp. 179-199 ◽  
Author(s):  
Hil�rio Alencar ◽  
Abd�nago Barros ◽  
Oscar Palmas ◽  
J. Guadalupe Reyes ◽  
Walcy Santos
Keyword(s):  
Minimal Hypersurfaces

scholarly journals Systolic Inequalities and Minimal Hypersurfaces

2010 ◽  
Vol 19 (6) ◽  
pp. 1688-1692 ◽  
Author(s):  
Larry Guth
Keyword(s):  
Minimal Hypersurfaces

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.

scholarly journals On Chern's conjecture for minimal hypersurfaces and rigidity of self-shrinkers

2017 ◽  
Vol 273 (11) ◽  
pp. 3406-3425 ◽  
Author(s):  
Hongwei Xu ◽  
Zhiyuan Xu
Keyword(s):  
Minimal Hypersurfaces

scholarly journals Equidistribution of minimal hypersurfaces for generic metrics

2019 ◽  
Vol 216 (2) ◽  
pp. 421-443 ◽  
Author(s):  
Fernando C. Marques ◽  
André Neves ◽  
Antoine Song
Keyword(s):  
Minimal Hypersurfaces
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