Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Biharmonic Caloric Functions On Open Manifolds
View through CrossRef
For a complete open Riemannian manifold with nonnegative Ricci curvature, we show that the dimension of the space of ancient biharmonic caloric functions with polynomial growth is bounded by the degree of growth times the dimension of biharmonic functions with the same growth. Moreover, we investigate biharmonic caloric functions on Euclidean spaces.
Title: Biharmonic Caloric Functions On Open Manifolds
Description:
For a complete open Riemannian manifold with nonnegative Ricci curvature, we show that the dimension of the space of ancient biharmonic caloric functions with polynomial growth is bounded by the degree of growth times the dimension of biharmonic functions with the same growth.
Moreover, we investigate biharmonic caloric functions on Euclidean spaces.
Related Results
Riemannian Curvature of a Sliced Contact Metric Manifold
Riemannian Curvature of a Sliced Contact Metric Manifold
Contact geometry become a more important issue in the mathematical world with the works which had done in the 19th century. Many mathematicians have made studies on contact manifol...
LVM manifolds and lck metrics
LVM manifolds and lck metrics
Abstract
In this paper, we compare two type of complex non-Kähler manifolds : LVM and lck manifolds. First, lck manifolds (for locally conformally Kähler manifolds) admit a...
Nutritional therapy and caloric achievement within the first week of PICU admission
Nutritional therapy and caloric achievement within the first week of PICU admission
Background Nutritional therapy is an important aspect in managing PICU patients. Careful decisions should be made regarding initiation, route of administration, and achievement bas...
Results of video head impulse test, caloric test, and ocular vestibular evoked myogenic potential findings in Meniere’s disease
Results of video head impulse test, caloric test, and ocular vestibular evoked myogenic potential findings in Meniere’s disease
Abstract
Background
Meniere’s disease (MD) is marked by fluctuating hearing loss, episodic vertigo, aural fullness, and t...
Biharmonic thickness mixing and backscatter by negative bolus velocity
Biharmonic thickness mixing and backscatter by negative bolus velocity
Biharmonic (or higher order) mixing of potential vorticity (PV) combines
biharmonic mixing of momentum and isopycnal thickness. It is applied in
a realistic eddy-permitting model o...
Biharmonic almost complex structures
Biharmonic almost complex structures
Abstract
This project uses methods in geometric analysis to study almost complex manifolds. We introduce the notion of biharmonic almost complex structure on a compact almost He...
On generalization of biharmonic curves in a Walker 3-manifold
On generalization of biharmonic curves in a Walker 3-manifold
This paper examines f-biharmonic curves within a three-dimensional Walker manifold, focusing on their geometric properties. It derives explicit parametric equations for these curve...
Shared Actuator Manifold - An Innovative Conception to MInimize Costs
Shared Actuator Manifold - An Innovative Conception to MInimize Costs
Abstract
Subsea Manifold has been used as a very attractive alternative in the development of subsea fields. The discover of giant fields in deep waters and the c...