α相对超曲面的体积变分问题
Volume variational problems for ？Е联？ relative hypersurfaces

对于？Е联？ 相对超曲面上的一般体积变分问题,得到其Euler Lagrange方程是一个四阶偏微分方程, 进而通过解这个四阶方程的一类边界问题可以构造许多欧式完备？Е联？ 相对超曲面.
A general volume variational problem for ？Е联？ relative hypersurfaces is considered, and it is proved that its Euler Lagrange equation is a four order PDE. By solving some boundary problem of this PDE, we can construct many Euclidean complete ？Е联？ relative hypersurfaces