지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
In this article, we constructively prove that on a surface S
with genus g ≥ 2, there exit maximal geodesic laminations with 7g - 7,..., 9g - 9 leaves. Thus, S can have ideal cell-decompositions (i.e., S can be (ideally) triangulated by maximal geodesic laminations) with 7g - 7,..., 9g - 9 (ideal) 1-cells.
Once there is a triangulation for a compact surface, the Euler characteristic
for the surface can be calculated as the alternating sum F - E+V, where F,E, and V denote the number of faces, edges, and vertices, respectively.
We also prove that the same formula holds for the ideal celldecompositions.
목차
등록된 정보가 없습니다.
참고문헌 (8)
참고문헌 신청
A. J. Casson / 1988 / Automorphisms of Surfaces After Nielsen and Thurston, London Mathematical Society Student Texts / Cambridge University Press : 9 ~
F. Bonahon / / Closed curves on surfaces, monograph in preparation
F. Bonahon / 1996 / Shearing hyperbolic surfaces, bending pleated surfaces and Thurston’s symplectic form / Annales de la Faculte des Sciences de Toulouse (Mathematiques) 5
M. Kapavich / 2001 / Hyperbolic manifolds and discrete groups, Progress in Mathematics / Birkhauser Boston, Inc. : 183 ~
R. Benedetti / 1992 / Lectures on Hyperbolic Geometry, Universitext / Springer-Verlag
F. Bonahon / / Closed curves on surfaces, monograph in preparation
F. Bonahon / 1996 / Shearing hyperbolic surfaces, bending pleated surfaces and Thurston’s symplectic form / Annales de la Faculte des Sciences de Toulouse (Mathematiques) 5
M. Kapavich / 2001 / Hyperbolic manifolds and discrete groups, Progress in Mathematics / Birkhauser Boston, Inc. : 183 ~
R. Benedetti / 1992 / Lectures on Hyperbolic Geometry, Universitext / Springer-Verlag
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
GEODESIC SPHERES AND BALLS OF THE HEISENBERG GROUPS
대한수학회논문집
2010 .01
-
Studying on a skew ruled surface by using the geodesic Frenet trihedron of its generator
한국수학논문집
2016 .01
-
Connected geodesic number of a fuzzy graph
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2018 .01
-
CONVEXITY OF DISTANCE FUNCTION BETWEEN GEODESICS
호남수학학술지
2008 .01
-
ON THE ERROR TERM IN THE PRIME GEODESIC THEOREM
대한수학회보
2012 .01
-
VAGUE p-IDEALS AND VAGUE a-IDEALS IN BCI-ALGEBRAS
충청수학회지
2013 .01
-
Drawing Geodesics on Tori
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2001 .12
-
ON THE (n, d)th f-IDEALS
대한수학회지
2015 .01
-
VOLUMES OF GEODESIC BALLS IN HEISENBERG GROUPS
충청수학회지
2018 .01
-
UPPERS TO ZERO IN POLYNOMIAL RINGS WHICH ARE MAXIMAL IDEALS
대한수학회보
2015 .01
-
Formaldehyde Emission of Wood-Based Composite Panels with Different Surface Lamination Materials Using Desiccator Method
목재공학(Journal of the Korean Wood Science and Technology)
2016 .01
-
N-IDEALS OF SUBTRACTION ALGEBRAS
대한수학회논문집
2010 .01
-
인장(引張) 및 압축부재(壓縮部材)와 적층수(積層數)가 플라타너스 집성재(集成材)의 휨성질(性質)에 미치는 영향(影響)
목재공학(Journal of the Korean Wood Science and Technology)
1986 .01
-
CURVES OF MAXIMAL GENUS ON SURFACE SCROLLS
충청수학회지
2014 .01
-
Circular regression using geodesic Lines
한국데이터정보과학회지
2011 .10
-
Riemann problem of the compressible euler equations for ideal gas
한국산업응용수학회 학술대회 논문집
2006 .05
-
GEODESIC SEMI E-PREINVEX FUNCTIONS ON RIEMANNIAN MANIFOLDS
Journal of applied mathematics & informatics
2018 .01
-
Crystal orientation and morphology of Ag nanoclusters grown on the hydrogen-terminated Si(111)-(1×1) surface
한국진공학회 학술발표회초록집
2016 .08
-
A First-principles Study on the Electronic Structures and Magnetism of Antiperovskite MnCo3N (001) surfaces
한국자기학회 학술연구발표회 논문개요집
2012 .05
-
Nonlinear etching process of hydrogen-terminated Si(110)-(1×1) surfaces
한국진공학회 학술발표회초록집
2016 .08
이 논문의 저자 정보
최근 본 자료
댓글(0)
0