      Type  Reference 
 , CauchyRiemann  Open subset of  Trivial line bundle  Trivial line bundle  Holomorphic functions  Elliptic  [15, Sec. I.5]   Complex manifold  Holomorphic vector bundle   Holomorphic sections  Overdet. elliptic  [16, Sec. 0.5]  ., Laplacetype  Riemannian manifold  Riem. vector bundle with connection   Harmonic sections  Elliptic  [17, Sec. 2.1]  , biLaplacian  Riemannian manifold  Trivial line bundle  Trivial line bundle  Biharmonic functions  Elliptic   , Dirac  Riemannian spin manifold  Spinor bundle  Spinor bundle  Harmonic spinors  Elliptic  [12, Ch. II, 5]  , heat operator  Interval Riemannian manifold  Trivial line bundle  Trivial line bundle   Parabolic  [14, Sec. 6.4]  , subLaplacian  SubRiemannian manifold (bracket generating)  Trivial line bundle  Trivial line bundle   Subelliptic  [18, Thm. 1.1]  , where complex vector fields (bracket cond.)   Trivial line bundle  Trivial line bundle   Sobolevsubell.  [19, Thm. C]  Bismut’s hypoelliptic Laplacian      Hypoelliptic  [20, Ch. 3]  , Kolmogorov   Trivial line bundle  Trivial line bundle   Hypoelliptic  [21, Sec. 22.2] 

