we establish some relative volume comparison theorems for extremal volume forms of‎ ‎finsler manifolds under suitable curvature bounds‎. ‎as their applications‎, ‎we obtain some results on curvature and topology of finsler manifolds‎. ‎our results remove the usual assumption on s-curvature that is needed in the literature‎.

Abstract. In this paper we define and verify a subclass of harmonic univalent functions involving the argument of complex-value functions of the form f = h + ¯g and investigate some properties of this subclass e.g. necessary and sufficient coefficient bounds, extreme points, distortion bounds and Hadamard product.Abstract. In this paper we define and verify a subclass of harmonic univalent func...

In the context of Synthetic Differential Geometry, we describe the square volume of a “second-infinitesimal simplex”, in terms of square-distance between its vertices. The square-volume function thus described is symmetric in the vertices. The square-volume gives rise to a characterization of the volume form in the top dimension.

We present a straightforward, yet effective approach to volume-preserving mesh skinning. After each skinned mesh deformation, a volume correction is applied which moves the vertices along an automatically constructed displacement field. The volume correction is exact and is computed directly by a closed-form solution. The animator can control the volume correction interactively to achieve custo...

Some important trends in geometric modeling are the reliance on solid models rather than surface-based models and the enhancement of the expressive power of models, by using free-form objects in addition to the usual geometric primitives and by incorporating physical principles. An additional trend is the emphasis on interactive performance. In this paper we integrate all of these requirements ...

forests of iran located on the southern border of the caspian sea cover 1.9 million hectares. the caspian forests are divided into four separate forestry areas. one of these being guilan influx area with total area of 565000 hectares. about 30 to 40 percent of guilan province forests are suitable to short rotation forestry for afforestation. slash pine (pinus elliottii) is one of the main exoti...