Let Gq(R_(n))be the Grassmannian of all linear q dimensional subspaces of R_(n)and I an integral invariant of p+q−n dimensional submanifolds of R_(n).Then we give methods of evaluating Crofton type integral∫G_(q)(R^(...Let Gq(R_(n))be the Grassmannian of all linear q dimensional subspaces of R_(n)and I an integral invariant of p+q−n dimensional submanifolds of R_(n).Then we give methods of evaluating Crofton type integral∫G_(q)(R^(n))I(M∩L)dL The methods also work for various generalizations of Gq(R_(n))such as complex Grassmannians.展开更多
文摘Let Gq(R_(n))be the Grassmannian of all linear q dimensional subspaces of R_(n)and I an integral invariant of p+q−n dimensional submanifolds of R_(n).Then we give methods of evaluating Crofton type integral∫G_(q)(R^(n))I(M∩L)dL The methods also work for various generalizations of Gq(R_(n))such as complex Grassmannians.
