论文标题
与边界的流形上的共形迪拉克 - 因斯坦方程
Conformal Dirac-Einstein equations on manifolds with boundary
论文作者
论文摘要
在本文中，我们研究了边界的歧管上的Dirac-Einstein方程，仅限于在狄拉克操作员的手性袋边界条件下具有恒定边界体积的共形类别。我们表征了起泡现象，也将基态气泡分类。最后，我们证明了Aubin型不平等和相关的存在结果。
In this paper we study Dirac-Einstein equations on manifolds with boundary, restricted to a conformal class with constant boundary volume, under chiral bag boundary conditions for the Dirac operator. We characterize the bubbling phenomenon, also classifying ground state bubbles. Finally, we prove an Aubin-type inequality and a related existence result.
