Volume formulas for a spherical tetrahedron

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Volume of a doubly truncated hyperbolic tetrahedron

The present paper regards the volume function of a doubly truncated hyperbolic tetrahedron. Starting from the previous results of J. Murakami, U. Yano and A. Ushijima, we have developed a unified approach to expressing the volume in different geometric cases by dilogarithm functions and to treat properly the many analytic strata of the latter. Finally, several numeric examples are given.

متن کامل

A Volume function for Spherical CR tetrahedra

We define a volume function on configurations of four points in the sphere S which is invariant under the action of PU(2, 1), the automorphism group of the CR structure defined on S by its embedding in C. We show that the volume function, constructed using appropriate combinations of the dilogathm function of Bloch-Wigner, satisfies a five term relation in a more general context which includes ...

متن کامل

Partitions for Spectral (Finite) Volume Reconstruction in the Tetrahedron

In this paper, we compute partitions of the tetrahedron for up to the fourth-order spectral volume reconstruction. Certain optimization is made to these partitions and previously obtained partitions of lower dimensional simplex. These optimized partitions have the smallest Lebesgue constants among currently known spectral volume partitions. Institute for Mathematics and its Applications, Univer...

متن کامل

Monotone Volume Formulas for Geometric Flows

We consider a closed manifold M with a Riemannian metric gij(t) evolving by ∂t gij = −2Sij where Sij(t) is a symmetric two-tensor on (M, g(t)). We prove that if Sij satisfies the tensor inequality D(Sij , X) ≥ 0 for all vector fields X on M , where D(Sij , X) is defined in (1.6), then one can construct a forwards and a backwards reduced volume quantity, the former being non-increasing, the latt...

متن کامل

Construction of spherical cubature formulas using lattices

We construct cubature formulas on spheres supported by homothetic images of shells in some Euclidian lattices. Our analysis of these cubature formulas uses results from the theory of modular forms. Examples are worked out on S for n = 4, 8, 12, 14, 16, 20, 23, and 24, and the sizes of the cubature formulas we obtain are compared with the lower bounds given by Linear Programming.

متن کامل

ذخیره 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: 2012

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-2012-11182-7