Light-cones, almost light-cones and almost-complex light-cones
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DOI: 10.1007/s10714-017-2264-1
Abstract: We point out (and then apply to a general situation) an unusual relationship among a variety of null geodesic congruences; (a) the generators of ordinary light-cones and (b) certain (related) shear-free but twisting congruences in… read more here.
Keywords: complex light; shear free; almost complex; almost light ... See more keywords
Extension formulae on almost complex manifolds
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DOI: 10.1007/s11425-019-1668-4
Abstract: We give the extension formulae on almost complex manifolds and give decompositions of the extension formulae. As applications, we study ( n , 0)-forms, the ( n , 0)-Dolbeault cohomology group and ( n, q… read more here.
Keywords: almost complex; formulae almost; extension formulae; complex manifolds ... See more keywords
On Kodaira dimension of almost complex 4-dimensional solvmanifolds without complex structures
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DOI: 10.1142/s0129167x21500750
Abstract: The aim of this paper is to continue the study of Kodaira dimension for almost complex manifolds, focusing on the case of compact [Formula: see text]-dimensional solvmanifolds without any integrable almost complex structure. According to… read more here.
Keywords: kodaira dimension; almost complex; formula see; see text ... See more keywords
Harmonicity of proper almost complex structures on Walker 4-manifolds
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DOI: 10.1142/s0219887817500943
Abstract: Every Walker 4-manifold M, endowed with a canonical neutral metric g, admits a specific almost complex structure called proper. In this paper, we find the conditions under which a proper almost complex structure is a… read more here.
Keywords: almost complex; walker manifolds; proper almost; harmonicity proper ... See more keywords