Geometric integral formulas of cylinders within slabs
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Títol
Geometric integral formulas of cylinders within slabsAutoria
Data de publicació
2023-10-17Editor
ElsevierCita bibliogràfica
GUAL-ARNAU, Ximo. Geometric integral formulas of cylinders within slabs. Differential Geometry and its Applications, 2023, vol. 91, p. 102066.Tipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/submittedVersionParaules clau / Matèries
Resum
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. [-]
Entitat finançadora
Universitat Jaume I | Ministerio de Ciencia, Innovación y Universidades (Spain)
Codi del projecte o subvenció
UJIB2017-13 | DPI2013-47279-C2-1-R | DPI2017-87333-R
Drets d'accés
© 2023 Elsevier B.V. All rights reserved.
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info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/openAccess
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