Joint zero sets and ranges of several Hermitian forms over complex and quaternionic scalars Original Research Article

Let image j=1,…,n, be Hermitian forms on a inner product space over image or image and let image have jth component hj. We study path connectedness of the joint zero set h−1(0)∩V1 and convexity of the joint range h(V1) for various values of n, where V1 is the unit sphere of V.