Small deformations of certain compact class $L$ manifolds
نویسندگان
چکیده
منابع مشابه
Deformations of Non-Compact, Projective Manifolds
In this paper, we demonstrate that the complete, hyperbolic representation of various two-bridge knot and link groups enjoy a certain local rigidity property inside of the PGL4(R) character variety. We also prove a complementary result showing that under certain rigidity hypotheses, branched covers of amphicheiral knots admit non-trivial deformations near the complete, hyperbolic representation.
متن کاملCohomological constraint to deformations of compact Kähler manifolds
We prove that for every compact Kähler manifold X the cup product H ∗(X, TX)⊗ H ∗(X,Ω∗X ) → H ∗(X,Ω∗−1 X ) can be lifted to an L∞-morphism from the Kodaira-Spencer differential graded Lie algebra to the suspension of the space of linear endomorphisms of the singular cohomology of X. As a consequence we get an algebraic proof of the principle “obstructions to deformations of compact Kähler manif...
متن کاملLaplacian Eigenvalues Functionals and Metric Deformations on Compact Manifolds
Abstract. In this paper, we investigate critical points of the Laplacian’s eigenvalues considered as functionals on the space of Riemmannian metrics or a conformal class of metrics on a compact manifold. We obtain necessary and sufficient conditions for a metric to be a critical point of such a functional. We derive specific consequences concerning possible locally maximizing metrics. We also c...
متن کاملLagrangian Floer Theory on Compact Toric Manifolds Ii : Bulk Deformations
This is a continuation of part I in the series (in progress) of the papers on Lagrangian Floer theory on toric manifolds. Using the deformations of Floer cohomology by the ambient cycles, which we call bulk deformations, we find a continuum of non-displaceable Lagrangian fibers on some compact toric manifolds. We also provide a method of finding all those fibers in arbitrary compact toric manif...
متن کاملThe Degree of Symmetry of Certain Compact Smooth Manifolds II
In this paper, we give the sharp estimates for the degree of symmetry and the semi-simple degree of symmetry of certain four dimensional fiber bundles by virtue of the rigidity theorem of harmonic maps due to Schoen and Yau. As a corollary of this estimate, we compute the degree of symmetry and the semi-simple degree of symmetry of CP 2 × V , where V is closed smooth manifold admitting a real a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1984
ISSN: 0386-2194
DOI: 10.3792/pjaa.60.39