A characterization of $2$-dimensional spherical space
نویسندگان
چکیده
منابع مشابه
Space as a Semiotic Object: A Three-Dimensional Model of Vertical Structure of Space in Calvino’s Invisible Cities
Following the “spatial turn” of the last 3 decades in humanities and social sciences and the structure of semiotic object, this research studies space as the main semiotic object of Calvino’s (1972) Invisible Cities. Significance of this application resides in examining the possibility of providing a more concrete methodology based on the integration of Zoran’s (1984) 3 vertical levels of const...
متن کاملSpherical 7-Designs in 2n-Dimensional Euclidean Space
We consider a finite subgroup Θn of the group O(N ) of orthogonal matrices, where N = 2n, n = 1, 2 . . . . This group was defined in [7]. We use it in this paper to construct spherical designs in 2n-dimensional Euclidean space RN . We prove that representations of the group Θn on spaces of harmonic polynomials of degrees 1, 2 and 3 are irreducible. This and the earlier results [1–3] imply that ...
متن کاملVector bundles over three-dimensional spherical space forms
In this work we consider the class of the compact connected three-dimensional manifolds with positive constant curvature, also known as the three-dimensional spherical space forms. These spaces, or subclasses like generalized quaternions or lens spaces, appear in many different contexts in topology and geometry, and have been completely classified; it is thus natural to ask if we can also count...
متن کاملHarmonic Morphisms from Three-dimensional Euclidean and Spherical Space Forms
This paper gives a description of all harmonic morphisms from a threedimensional non-simply-connected Euclidean and spherical space form to a surface, by extending the work of Baird-Wood [4, 5] who dealt with the simply-connected case; namely we show that any such harmonic morphism is the composition of a “standard” harmonic morphism and a weakly conformal map. To complete the description we li...
متن کاملInter-observer agreement between 2-dimensional CT versus 3-dimensional I-Space model in the Diagnosis of Occult Scaphoid Fractures
Background: The I-Space is a radiological imaging system in which Computed Tomography (CT)-scans can be evaluated as a three dimensional hologram. The aim of this study is to analyze the value of virtual reality (I-Space) in diagnosing acute occult scaphoid fractures. Methods: A convenient cohort of 24 patients with a CT-scan from prior studies, without a scaphoid fracture on radiograph, ye...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1973
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1973-0320899-0