\uc7a5\uc18c : \uace0\ub824\ub300\ud559\uad50 \uc544\uc0b0\uc774\ud559\uad00 524\ud638
\uc774 \ubc1c\ud45c\ub294 \ub204\uad6c\uc5d0\uac8c\ub098 \uac1c\ubc29\ub418\uc5b4 \uc788\uace0, \uc800\ub141 \uc2dd\uc0ac\uac00 \uc608\uc815\ub418\uc5b4 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n\n\n\n
\ubc1c\ud45c 1
\uc2dc\uac04 : 2025\ub144 2\uc6d4 20\uc77c(\ubaa9) \uc624\ud6c4 1\uc2dc 00\ubd84 ~ 2\uc2dc 00\ubd84
\uc81c\ubaa9 : Ruled zero mean curvature surfaces in the three dimensional lightcone
\ubc1c\ud45c\uc790 : \uc774\uc6d0\uc8fc \uc120\uc0dd\ub2d8 (\uace0\ub824\ub300\ud559\uad50)<\/p>\n\n\n\n
\ubc1c\ud45c 2
\uc2dc\uac04 : 2025\ub144 2\uc6d4 20\uc77c(\ubaa9) \uc624\ud6c4 2\uc2dc 30\ubd84 ~ 3\uc2dc 30\ubd84
\uc81c\ubaa9 : A review of the works by KKLSY
\ubc1c\ud45c\uc790 : \uc591\uc131\ub355 \uad50\uc218\ub2d8 (\uace0\ub824\ub300\ud559\uad50)
<\/p>\n\n\n\n
\ubc1c\ud45c 3 <\/p>\n","protected":false},"excerpt":{"rendered":" \uc7a5\uc18c : \uace0\ub824\ub300\ud559\uad50 \uc544\uc0b0\uc774\ud559\uad00 524\ud638 \uc774 \ubc1c\ud45c\ub294 \ub204\uad6c\uc5d0\uac8c\ub098 \uac1c\ubc29\ub418\uc5b4 \uc788\uace0, \uc800\ub141 \uc2dd\uc0ac\uac00 \uc608\uc815\ub418\uc5b4 \uc788\uc2b5\ub2c8\ub2e4. \ubc1c\ud45c 1\uc2dc\uac04 : 2025\ub144 2\uc6d4 20\uc77c(\ubaa9) \uc624\ud6c4 1\uc2dc 00\ubd84 ~ 2\uc2dc 00\ubd84\uc81c\ubaa9 : Ruled zero mean curvature surfaces in the three dimensional lightcone\ubc1c\ud45c\uc790 : \uc774\uc6d0\uc8fc \uc120\uc0dd\ub2d8 (\uace0\ub824\ub300\ud559\uad50) \ubc1c\ud45c 2\uc2dc\uac04 : 2025\ub144 2\uc6d4 20\uc77c(\ubaa9) \uc624\ud6c4 2\uc2dc 30\ubd84 ~ 3\uc2dc 30\ubd84\uc81c\ubaa9 : A […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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\uc2dc\uac04 : 2025\ub144 2\uc6d4 20\uc77c(\ubaa9) \uc624\ud6c4 4\uc2dc~5\uc2dc
\uc81c\ubaa9 : Mass\u00a0Center and\u00a0Generalized Pappus\u2019 Centroid Theorems in\u00a0Three Geometries
\ubc1c\ud45c\uc790 : \ucd5c\ud615\uaddc \uad50\uc218\ub2d8 (\uc11c\uc6b8\ub300\ud559\uad50)
\ucd08\ub85d : G. A. Galperin defined the axiomatic mass center system for the sets of finite points on the spherical spaces and on the hyperbolic spaces and proved the uniqueness of the mass center system. We introduce this system of mass center again and provide an considerably simpler proof for the uniqueness. Additionally, we propose the axiomatic mass center system for manifolds. As an application of our mass center system, we establish a highly generalized Pappus\u2019 centroid theorems on volume in three geometries, Euclidean, spherical, and hyperbolic ones, of all dimensions and give considerably simple proofs in a unified manner for all geometries.
\ucc38\uace0: https:\/\/arxiv.org\/abs\/2412.03080<\/a> <\/p>\n\n\n\n