ISOMETRIC DEFORMATION OF THE SURFACE OF MINIMAL AREA OF A CYLINDER INCREASING ITS VOLUME
Lizandro Baldomero, Reyna Zegarra y Heron Juan Morales Marchena
Departamento de Matemáticas, Universidad Nacional del Santa, Chimbote, Perú
A method for increasing the volume of a cylinder with minimal area preserving the isometry is expounded. To do this, it was necessary to use numerical methods and a computer program. Such method let us set down a theorem which is analogy to that given for the case of a cube instead of a cylinder, being an immediate application of this theorem to the case of optimization in designing commercial bottles. To get an analytical proof of this new theorem is demanded. Keywords: surface of minimal area; optimization in designing commercial bottles; increasing the volume without stretching.