The Localised Bounded $$L^2$$L2-Curvature Theorem
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-019-03458-9
Abstract: In this paper, we prove a localised version of the bounded $$L^2$$L2-curvature theorem of (Klainerman et al. Invent Math 202(1):91–216, 2015). More precisely, we consider initial data for the Einstein vacuum equations posed on a… read more here.
Keywords: bounded curvature; localised bounded; sigma; curvature theorem ... See more keywords
Diverging sequences of unit volume invariant metrics with bounded curvature
Sign Up to like & getrecommendations! Published in 2019 at "Annals of Global Analysis and Geometry"
DOI: 10.1007/s10455-019-09677-6
Abstract: We study 1-parameter families in the space $\mathscr{M}^G_1$ of $G$-invariant, unit volume metrics on a given compact, connected, almost-effective homogeneous space $M=G/H$. In particular, we focus on diverging sequences, i.e. which are not contained in… read more here.
Keywords: bounded curvature; unit volume; diverging sequences;
Census of bounded curvature paths
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DOI: 10.1007/s10711-019-00444-2
Abstract: A bounded curvature path is a continuously differentiable piece-wise $$C^2$$ C 2 path with bounded absolute curvature connecting two points in the tangent bundle of a surface. These paths have been widely considered in computer… read more here.
Keywords: census bounded; bounded curvature; curvature; curvature paths ... See more keywords
Subdivision schemes with optimal bounded curvature near extraordinary vertices
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DOI: 10.1111/cgf.13582
Abstract: We present a novel method to construct subdivision stencils near extraordinary vertices with limit surfaces having optimal bounded curvature at extraordinary positions. With the proposed method, subdivision stencils for newly inserted and updated vertices near… read more here.
Keywords: bounded curvature; subdivision; extraordinary vertices; near extraordinary ... See more keywords