【摘要】 本文定义了强拟凸复Finsler流形上的Hodge-Laplace算子,并给出其水平部分的局部坐标表示．更多还原

【Abstract】 A Hodge-Laplace operator is defined on a compact strongly pseudoconvex complex Finsler manifold(M,F),it reduces to the classical Hodge-Laplace operator in Hermitian cases.The key point of defining this Hodge-Laplace operator is to define a global inner product on the base manifold M.We do this by pulling the differential forms of type-(p,q)on M back to the projectivized tangent bundle PTM of M and then using the natural Hermitian inner product on PTM to obtain a global inner product on M.更多还原