We study the type II string theories compactified on manifolds of G2 holonomy of the type (Calabi-Yau 3-fold×S)/Z2 where CY3 sectors realized by the Gepner models. We construct modular invariant partition functions for G2 manifold for arbitrary Gepner models of the Calabi-Yau sector. We note that the conformal blocks contain the tricritical Ising model and find extra massless states in the twis...

Using lateral intake is a method of floodwater diverting. In arid and semi-arid areas, floodwatercontains a large amount of sediment that will be carried in to the intakes and it causes a reduction inchannel conveyance. Sediment is almost transported into the intake and it is settled in the upstreamside of lateral channel. Sedimentation in this zone reduces the conveyance of lateral channel and...

Flow separation at water intake is the main cause of head loss and flow discharge reduction. &#10As a result, study of shape and size of separation is very essential when designing an optimum water intake. Water intake is normally built with a 90 degree angle to the main channel flow direction. However, the flow structure in this type of water intake consists of large separation size along wit...

Several manifold learning techniques have been developed to learn, given a data, a single lower dimensional manifold providing a compact representation of the original data. However, for complex data sets containing multiple manifolds of possibly of different dimensionalities, it is unlikely that the existing manifold learning approaches can discover all the interesting lower-dimensional struct...

This paper presents a configuration manifold embedding model that provides a new approach to dynamic model reduction and adaptive control of redundant robotic systems. The proposed model is developed based on a geometrical and topological analysis of configuration manifolds (C-manifolds) hidden behind every robotic dynamic system that commonly obeys the Lagrange equation. With a detailed study ...

We construct the twistor space associated with an HKT manifold, that is, a hyper-Kähler manifold with torsion, a type of geometry that arises as the target space geometry in two-dimensional sigma models with (4,0) supersymmetry. We show that this twistor space has a natural complex structure and is a holomorphic fibre bundle over the complex projective line with fibre the associated HKT manifol...

Accurate automated segmentation of the right ventricle is difficult due in part to the large shape variation found between patients. We explore the ability of manifold learning based shape models to represent the complexity of shape variation found within an RV dataset as compared to a typical PCA based model. This is empirically evaluated with the manifold model displaying a greater ability to...

commutative properties of four-dimensional generalized symmetric pseudo-riemannian manifolds were considered. specially, in this paper, we studied skew-tsankov and jacobi-tsankov conditions in 4-dimensional pseudo-riemannian generalized symmetric manifolds.