TY - CHAP A1 - Nguyen, Manh Hung A1 - Gürlebeck, Klaus ED - Gürlebeck, Klaus ED - Lahmer, Tom ED - Werner, Frank T1 - ON M-CONFORMAL MAPPINGS AND GEOMETRIC PROPERTIES T2 - Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar N2 - Monogenic functions play a role in quaternion analysis similarly to that of holomorphic functions in complex analysis. A holomorphic function with nonvanishing complex derivative is a conformal mapping. It is well-known that in Rn+1, n ≥ 2 the set of conformal mappings is restricted to the set of Möbius transformations only and that the Möbius transformations are not monogenic. The paper deals with a locally geometric mapping property of a subset of monogenic functions with nonvanishing hypercomplex derivatives (named M-conformal mappings). It is proved that M-conformal mappings orthogonal to all monogenic constants admit a certain change of solid angles and vice versa, that change can characterize such mappings. In addition, we determine planes in which those mappings behave like conformal mappings in the complex plane. KW - Angewandte Informatik KW - Angewandte Mathematik KW - Computerunterstütztes Verfahren Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170314-27833 UR - http://euklid.bauing.uni-weimar.de/ikm2012 SN - 1611-4086 ER - TY - CHAP ED - Gürlebeck, Klaus ED - Könke, Carsten T1 - International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 7 - 9 2009, Bauhaus-University Weimar T1 - Internationales Kolloquium über Anwendungen der Informatik und Mathematik in Architektur und Bauwesen : 7. bis 9.7. 2009, Bauhaus-Universität Weimar N2 - From 7 till 9 July 2009, the 18th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering is going to take place at the Bauhaus University Weimar. Architects, computer scientists, mathematicians, and engineers from all over the world will meet in Weimar for an interdisciplinary exchange of experiences to report on their results in research, development and practice and to discuss. The conference offers several topics. Plenary lectures and thematic sessions will take place under the chairmanship of the mentioned colleagues. We invite architects, civil engineers, designers, computer scientists, engineers, mathematicians, planners, project managers, and software developers from business, science and research to participate in the conference. KW - Computerunterstütztes Verfahren KW - Architektur KW - Angewandte Mathematik KW - Angewandte Informatik KW - Computer Science Models in Engineering KW - Multiscale and Multiphysical Models KW - Scientific Computing Y1 - 2010 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20120105-14855 UR - http://euklid.bauing.uni-weimar.de/ikm2009/paper.html ER -