Linearly independent, orthogonal and equivariant immersions

Abstract

In this article we define the notions of linearly independent and orthogonal immersions and introduce the notion of adjoint hyperquadrics of linearly independent immersions. We investigate the relations between linearly indedendent immersions, orthogonal immersions, equivariant immersions and adjoint hyperquadrics. Several results in this respect are obtained.