Phase Structure of the Large-N Reduced Gauge Theory and the Generalized Weingarten Model Masanori Hanada1, ∗), Takashi Kanai1, ∗∗), Hikaru Kawai1,2, ∗∗∗), and Fukuichiro Kubo1, †) 1Department of Physics, Kyoto University, Kyoto 606-8502, Japan 2 Theoretical Physics Laboratory, RIKEN, Wako 351-0198, Japan (Received April 9, 2006) We study a generalization of the Weingarten model reduced to a poi...

We study the intrinsic geometry of hypersurfaces in Calabi-Yau manifolds of real dimension 6 and, more generally, SU(2)-structures on 5-manifolds defined by a generalized Killing spinor. We prove that in the real analytic case, such a 5-manifold can be isometrically embedded as a hypersurface in a Calabi-Yau manifold in a natural way. We classify nilmanifolds carrying invariant structures of th...

Abstract We show that any compact surface of genus zero in $${\mathbb {R}}^3$$ R 3 satisfies a quasiconformal inequality between its principal curvatures is round sphere. This solves an old open problem by H. Hopf, and gives spherical version Simo...

In the present paper, we give a complete classification of connected simple graphs whose edge rings have $q$-linear resolution with $q \geq 2$. particular, show that ring finite graph resolution, where 3$, is hypersurface, which was conjectured by Hibi, Matsuda, and Tsuchiya.

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In this article, we consider a class of prescribed Weingarten curvature equations. Under some sufficient conditions, obtain an existence result by the standard degree theory based on priori estimates for solutions to

We classify the foliations associated to semi-complete vector fields at an isolated singularity of saddle-node type in C, i.e., associated to semi-complete vector fields in C, whose linear part is diagonalizable and with an isolated singularity, where the n − 1 non-vanishing eigenvalues of its linear part are nonresonant and in the Poincaré Domain. We will also analyse the semi-completude of a ...