Laplacian flow for closed $\mathrm{G}_2$ structures: real analyticity
نویسندگان
چکیده
منابع مشابه
Laplacian Flow for Closed G2-structures: Short Time Behavior
We prove short time existence and uniqueness of solutions to the Laplacian flow for closed G2 structures on a compact manifold M . The result was claimed in [2], but its proof has never appeared.
متن کاملWeakly O-minimal Structures and Real Closed Fields
A linearly ordered structure is weakly o-minimal if all of its definable sets in one variable are the union of finitely many convex sets in the structure. Weakly o-minimal structures were introduced by Dickmann, and they arise in several contexts. We here prove several fundamental results about weakly o-minimal structures. Foremost among these, we show that every weakly o-minimal ordered field ...
متن کاملReal Closed Rings and Real Closed * Rings
Here we try to distinguish and compare different notions of real closedness mainly one developed by N. Schwartz in his Habilitationschrift and the other developed by A. Sankaran and K. Varadarajan in [SV] which we shall call real closed *. We stick to the definition of real closed rings as defined and characterized in [RCR] and we try to determine and characterize real closed rings that are rea...
متن کاملAnalyticity of the Free Energy of a Closed 3-manifold
The free energy of a closed 3-manifold is a 2-parameter formal power series which encodes the perturbative Chern-Simons invariant (also known as the LMO invariant) of a closed 3-manifold with gauge group U(N) for arbitrary N . We prove that the free energy of an arbitrary closed 3-manifold is uniformly Gevrey-1. As a corollary, it follows that the genus g part of the free energy is convergent i...
متن کاملReal Analyticity of Hausdorff Dimension for Expanding Rational Semigroups
We consider the dynamics of expanding semigroups generated by finitely many rational maps on the Riemann sphere. We show that for an analytic family of such semigroups, the Bowen parameter function is real-analytic and plurisubharmonic. Combining this with a result obtained by the first author, we show that if for each semigroup of such an analytic family of expanding semigroups satisfies the o...
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: Communications in Analysis and Geometry
سال: 2019
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.2019.v27.n1.a3