12,064 research outputs found

    Weierstrass representations for harmonic morphisms on Euclidean spaces and spheres

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    We construct large families of harmonic morphisms which are holomorphic with respect to Hermitian structures by finding heierarchies of Weierstrass-type representations. This enables us to find new examples of complex-valued harmonic morphisms from Euclidean spaces and spheres.Comment: Minor revision adding example. Latex 2.09. 14 page

    Twistor theory on a finite graph

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    We show how the description of a shear-free ray congruence in Minkowski space as an evolving family of semi-conformal mappings can naturally be formulated on a finite graph. For this, we introduce the notion of holomorphic function on a graph. On a regular coloured graph of degree three, we recover the space-time picture. In the spirit of twistor theory, where a light ray is the more fundamental object from which space-time points should be derived, the line graph, whose points are the edges of the original graph, should be considered as the basic object. The Penrose twistor correspondence is discussed in this context

    Imprisoned bodies - free minds: Incarcerated women and liberatory learning.

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    Using women\u27s literature as a medium for self-exploration for self-awareness, incarcerated women learn to free their minds from their limiting situation. Examining the model through prison, Freirian, feminist methodologies affirms its significance/effectiveness as the essential first step for saying things differently, for liberation from oppression

    Rattling the Cage: Incarcerated Men, Gender and the Construction of Maleness

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    This excerpt from Vanzant speaks to the purpose of this research with incarcerated males. Succinctly, the issue—Vanzant\u27s harmful actions /male criminal activity—is an age-old one with punishment as the antidote. This study, alternatively, chose to look at the issue from a learning perspective: men\u27s learning, outside of the academy, to gain insights into themselves, their being as men, and to take ownership for rerighting themselves (their words), with literature serving as the medium

    The New Park Doctrine: Missing the Mark

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