Scalar curvature
Examples of non-isolated blow-up for perturbations of the scalar curvature equation on non locally conformally flat manifolds
... the scalar curvature, blow-up is possible: we refer to Druet–Hebey [7] for examples of non- isolated blow-up on the sphere with C 1 −perturbations of the ...
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Ricci flow on open 3-manifolds and positive scalar curvature
... Claim. The frontier of U is connected, equal to the boundary component of ¯ N 0 which does not lie in N 1 . We prove the claim by contradiction. If it is not true, then we can pick two points x, y ∈ X, each one being ...
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Sign-changing blow-up for scalar curvature type equations
... When h 6≡ cn Scalg, the situation is different. When h < cn Scalg, Druet [11] proved that (3) is positively compact in dimension n ≥ 3 (see also Li–Zhu [25] and Druet– Hebey–V´etois [15] for n = 3). Conversely, in ...
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The weighted scalar curvature of a Kähler manifold
... In partic- ular, we introduce a functional Mv,w on the space of 11'-invariant Kahler metrics in a, extending the Mabuchi energy in the cscK case, and show that [r] ...
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Asymptotic Estimates for Perturbed Scaiar Curvature Equation
... Note that for W ≡ 0, the equation (E ǫ ) is the wellknowen scalar curvature equation on open set of R n , n ≥ 3. In this case, there is many results about this equation, see for example [B] and [C-L 1]. ...
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Conformally flat manifolds with nonnegative Ricci curvature
... nonnegative scalar curvature (or any variant of it involving the Yamabe constant) still allows much ...stronger curvature conditions such as Ricci curvature bounds, one might expect that they ...
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Riesz transform on manifolds with quadratic curvature decay.
... Ricci curvature implies a Lipschitz estimates for harmonic function on remote balls; hence the scale invariant α-H¨older Elliptic estimates holds for any ball if and only if it holds for anchored ...
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Fast diffusion flow on manifolds of nonpositive curvature
... A new issue is addressed in Section 6, where we investigate the validity and consequences of the Poincar´e inequality (1.6) kuk 2 ≤ Ck∇uk 2 , a property which may or may not hold on a manifold M as before. A sufficient ...
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Tracking points on deformable objects using curvature information
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...
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Mean curvature motion of point cloud varifolds
... mean curvature vector points is the direction to choose in order to decrease ...mean curvature vector is the L 2 –gradient of the area functional and varifolds generalized mean curvature relies on ...
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Branch Prediction Attack on Blinded Scalar Multiplication
... subsequently eliminate erroneous observations. This last step uses the properties of the target blinding technique to remove wrong guesses and thus naturally provides error correction in key retrieval. In the later part ...
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Conformal transformations with multiple scalar fields
... coupled scalar field may be related, via conformal transformation and field rescaling, to an equivalent model involving ordi- nary gravity and a minimally coupled scalar ...
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Self-acceleration in scalar-bimetric theories
... the scalar field value, but on its ...the scalar field to the baryons (and incidentally the one to dark matter) is reduced and local tests of grav- ity are ...
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Stratified spaces and synthetic Ricci curvature bounds
... RICCI CURVATURE BOUNDS ...ian curvature-dimension condition RCD(K, N) if and only if its Ricci tensor is bounded below by K ∈ R on the regular set, the cone angle along the stra- tum of codimension two is ...
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Curvature and torsion estimators for 3D curves
... and segments from curvature profiles. In: ICPR (3). (2006) 387–390 5. Attneave, E.: Some informational aspects of visual perception. Psychol. Rev. 61 (1954) 6. Mokhtarian, F.: A theory of multiscale, torsion-based ...
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Scalar triplet flavored leptogenesis: a systematic approach
... considered scalar triplet leptogenesis scenarios where the states enabling success- ful production of the cosmic baryon asymmetry are either extra triplets or RH ...triplet scalar leptogenesis in full ...
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Γ -Entropy Cost for Scalar Conservation Laws
... The candidate large deviations rate functional H JV introduced in [9, 17] is defined as +∞ off the set of weak solutions to 1.1, while H JV u = k℘+ h,u kTV for u a weak solution this is [r] ...
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Groups acting on spaces of non-positive curvature
... 1 Introduction According to the so-called Erlangen Program of Felix Klein [63, 59], a geometry is a set and a group that preserves some invariants. On the other hand, groups are actors and they are better understood via ...
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Some results on anisotropic fractional mean curvature flows
... When N = | · | and g = 0, it is proved in [10] that as h → 0, u h converges to the geometric solution of the fractional curvature flow defined in [19], at least when no “fattening” occurs. We shall extend this ...
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Curvature effect on the structure of phospholipid bilayers
... of curvature on bilayer structure. The effect of curvature on bilayer thickness has been studied by Kiselev et ...bilayer curvature) the bilayer gets ...A curvature effect on bilayer structure ...
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