Geometric integral formulas of cylinders within slabs
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Title
Geometric integral formulas of cylinders within slabsAuthor (s)
Date
2023-10-17Publisher
ElsevierBibliographic citation
GUAL-ARNAU, Ximo. Geometric integral formulas of cylinders within slabs. Differential Geometry and its Applications, 2023, vol. 91, p. 102066.Type
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Abstract
We present new expressions for the integrals of mean curvature of domains in
by means of sections with cylinders. Then, we combine these expressions with the corresponding version of the invariant density of affine ... [+]
We present new expressions for the integrals of mean curvature of domains in
by means of sections with cylinders. Then, we combine these expressions with the corresponding version of the invariant density of affine subspaces in Rn
, in order to obtain pseudo-rotational formulae for all the integrals of mean curvature of ∂K. As particular cases, we present pseudo-rotational integral formulas for the volume, area, integral of mean curvature, and Euler-Poincaré characteristic of a connected domain of R3
, whose boundary is a surface, considering slabs in R3
whose central plane passes through a fixed point, and cylinders contained in these slabs. [-]
Funder Name
Universitat Jaume I | Ministerio de Ciencia, Innovación y Universidades (Spain)
Project code
UJIB2017-13 | DPI2013-47279-C2-1-R | DPI2017-87333-R
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© 2023 Elsevier B.V. All rights reserved.
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