Driving forces on microano curved surfaces

摘要

Our previous research works are summarized in this paper.The following subject is presented:New driving forces may be induced on microano curved surfaces.The following propositionis confirmed:The classical gradient and shape gradient of curvatures are the essential factorsthat form the new driving forces.The following contents are included:(a) The mechanics ofbiomembranes has shown that there are two fundamental gradients on microano soft mattercurved spaces:one is the classical gradient,and another is the shape gradient.(b) The classicalgradient and shape gradient may lead to a symmetric differential geometry that controls the physicsand mechanics on microano curved surfaces.