scholarly journals A critical examination of the theory of curves in three dimensional differential geometry

1967 ◽  
Vol 19 (1) ◽  
pp. 1-31 ◽  
Author(s):  
Yung-chow Wong ◽  
Hon-fei Lai
2019 ◽  
Vol 28 (3) ◽  
pp. 304-318 ◽  
Author(s):  
Phu Doma Lama ◽  
Per Becker

Purpose Adaptation appears to be regarded as a panacea in policy circles to reduce the risk of impending crises resulting from contemporary changes, including but not restricted to climate change. Such conceptions can be problematic, generally assuming adaptation as an entirely positive and non-conflictual process. The purpose of this paper is to challenge such uncritical views, drawing attention to the conflictual nature of adaptation, and propose a theoretical framework facilitating the identification and analysis of conflicts in adaptation. Design/methodology/approach The study is based on case study research using first-hand narratives of adaptation in Nepal and the Maldives collected using qualitative interviews, participant observation and document analysis. Findings The findings identify conflicts between actors in, and around, communities that are adapting to changes. These conflicts can be categorized along three dimensions: qualitative differences in the type of conflict, the relative position of conflicting actors and the degree of manifestation of the conflict. Originality/value The three-dimensional Adaptation Conflict Framework facilitate analysis of conflicts in adaptation, allowing for a critical examination of subjectivities inherent in the adaptation discourses embedded in disaster risk reduction and climate change adaptation research and policy. Such an inquiry is crucial for interventions supporting community adaptation to reduce disaster risk.


2009 ◽  
Vol 50 ◽  
Author(s):  
Kazimieras Navickis

In this this article the differential geometry of intersection curve of two surfaces in the three dimensional euclidean space is considered.In case, curvature and torsion formulas for such curve are defined.


2021 ◽  
Vol 26 (2) ◽  
pp. 95-102
Author(s):  
David R. Bergman

A connection between acoustic rays in a moving inhomogeneous fluid medium and the null geodesic of a pseudo-Riemannian manifold provides a mechanism to derive several well-known results commonly used in acoustic ray theory. Among these include ray integrals for depth dependent sound speed and current profiles commonly used in ocean and aero acoustic modelling. In this new paradigm these are derived by application of a symmetry of the effective metric tensor known as isometry. In addition to deriving well-known results, the application of the full machinery of differential geometry offers a unified approach to modelling acoustic fields in three dimensional random environments with time dependence by, (1) using conformal symmetry to simplify the geodesic equation, and (2) application of geodesic deviation as a generalization of geometric spread.


2012 ◽  
Vol 52 (4) ◽  
pp. 697-703 ◽  
Author(s):  
Yuan-Tsung Wang ◽  
Yoshitaka Adachi ◽  
Kiyomi Nakajima ◽  
Yoshimasa Sugimoto

2012 ◽  
Vol 602-604 ◽  
pp. 1827-1830
Author(s):  
Chun Tao Li ◽  
Xiang Qi ◽  
Jian Shi ◽  
Zhong Kun Shi ◽  
Huan Qi

Based on the analysis of molded line geometrical characteristic and boundary conditions of high-speed frigate’s hull by using differential geometry, we report a curve modeling principle to express the hull line geometry through differential geometry application. The starting point of this molded-line automatic generation method is using the planar curve to express 3D surface shape. The first problem to be solved is how to get shape functions which describe every design ship curves via the the hull type curves geometry. The second problem to be solved is how the two-dimensional function, which describe ship lines, transformed to the hull shape function designed of three-dimensional hull surface, namely “mathematic ship”.


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