Curvature tensors of Riemannian manifold with connection without torsion
N. Bokan (1985)
Matematički Vesnik
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N. Bokan (1985)
Matematički Vesnik
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Brent Collins (2001)
Visual Mathematics
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Lohkamp, Joachim (1998)
Documenta Mathematica
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Neagu, Mircea, Udrişte, Constantin (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Martijn van Manen (2003)
Banach Center Publications
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Conflict set are the points at equal distance from a number of manifolds. Known results on the differential geometry of these sets are generalized and extended.
Wolfgang Kühnel (1979)
Colloquium Mathematicae
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Iyigün, Esen (2002)
APPS. Applied Sciences
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Christos Baikoussis, Themis Koufogiorgos (1988)
Colloquium Mathematicae
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Haesen, Stefan, Verpoort, Steven (2010)
Beiträge zur Algebra und Geometrie
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Jiangguo Liu, Farrah Sadre-Marandi, Simon Tavener, Chaoping Chen (2015)
Molecular Based Mathematical Biology
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It is known that the retrovirus capsids possess a fullerene-like structure. These caged polyhedral arrangements are built entirely from hexagons and exactly 12 pentagons according to the Euler theorem. Viral capsids are composed of capsid proteins, which create the hexagon and pentagon shapes by groups of six (hexamer) and five (pentamer) proteins. Different distributions of these 12 pentamers result in icosahedral, tubular, or conical shaped capsids. These pentamer clusters introduce...
Aleksander Całka (1981)
Colloquium Mathematicae
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Antonio Carlos Asperti, Dirk Ferus, Lucio Rodriguez (1982)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Studiamo la topologia differenziale e la geometria delle superfici compatte con curvatura normale non-nulla in spazio della curvatura costante.
Ronaldo García, Jorge Sotomayor (2001)
Publicacions Matemàtiques
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In this paper we study the pairs of orthogonal foliations on oriented surfaces immersed in R whose singularities and leaves are, respectively, the umbilic points and the lines of normal mean curvature of the immersion. Along these lines the immersions bend in R according to their normal mean curvature. By analogy with the closely related Principal Curvature Configurations studied in [S-G], [GS2], whose lines produce the extremal for the immersion, the pair of foliations by lines of...
Xu-Jia Wang (2014)
Journal of the European Mathematical Society
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The convexity of level sets of solutions to the mean curvature equation is a long standing open problem. In this paper we give a counterexample to it.