Results 11 to 20 of about 128 (23)
Constant scalar curvature metrics on connected sums
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 7, Page 405-450, 2003., 2003 The Yamabe problem (proved in 1984) guarantees the existence of a metric of constant scalar curvature in each conformal class of Riemannian metrics on a compact manifold of dimension n ≥ 3, which minimizes the total scalar curvature on this conformal class. Let (M′, g′) and (M″, g″) be compact Riemannian n‐manifolds. We form their connected sumM′#M″ by
Dominic Joyce
wiley +1 more source
Universal inequalities for the eigenvalues of Schrodinger operators on submanifolds [PDF]
, 2009 We establish inequalities for the eigenvalues of Schr\"odinger operators on compact submanifolds (possibly with nonempty boundary) of Euclidean spaces, of spheres, and of real, complex and quaternionic projective spaces, which are related to inequalities
Harrell, Evans +2 more
core +2 more sources
On the construction of Nadel multiplier ideal sheaves and the limiting behavior of the Ricci flow
, 2007 In this note we construct Nadel multiplier ideal sheaves using the Ricci flow on Fano manifolds. This extends a result of Phong, Sesum and Sturm. These sheaves, like their counterparts constructed by Nadel for the continuity method, can be used to obtain
Rubinstein, Yanir A.
core +4 more sources
Extremal spectral properties of Otsuki tori
, 2012 Otsuki tori form a countable family of immersed minimal two-dimensional tori in the unitary three-dimensional sphere. According to El Soufi-Ilias theorem, the metrics on the Otsuki tori are extremal for some unknown eigenvalues of the Laplace-Beltrami ...
Berger +18 more
core +1 more source
Singularities and K-semistability
, 2010 In this paper we extend the notion of Futaki invariant to big and nef classes in such a way that it defines a continuous function on the \K\ cone up to the boundary. We apply this concept to prove that reduced normal crossing singularities are sufficient
Alberto Della Vedova +20 more
core +1 more source
Extremal $G$-invariant eigenvalues of the Laplacian of $G$-invariant metrics [PDF]
, 2007 The study of extremal properties of the spectrum often involves restricting the metrics under consideration. Motivated by the work of Abreu and Freitas in the case of the sphere $S^2$ endowed with $S^1$-invariant metrics, we consider the subsequence ...
Ahmad +3 more
core +3 more sources
H-functional and Matsushima type decomposition theorem
, 2019 The H-functional characterizes K\"ahler-Ricci solitons as its critical points, and also plays an important role of the existence problem for K\"ahler-Einstein metrics. In this paper we prove the Hessian formula for the H-functional at its critical points,
Nakamura, Satoshi
core
A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle [PDF]
, 2006 We prove the following conjecture recently formulated by Jakobson, Nadirashvili and Polterovich \cite{JNP}: on the Klein bottle $\mathbb{K}$, the metric of revolution $$g_0= {9+ (1+8\cos ^2v)^2\over 1+8\cos ^2v} (du^2 + {dv^2\over 1+8\cos ^2v}),$$ $0\le ...
Giacomini, Hector +2 more
core +2 more sources
Greatest least eigenvalue of the Laplacian on the Klein bottle [PDF]
, 2005 We prove the following conjecture recently formulated by Jakobson, Nadirashvili and Polterovich \cite{JNP}: For any Riemannian metric $g$ on the Klein bottle $\mathbb{K}$ one has $$\lambda\_1 (\mathbb{K}, g) A (\mathbb{K}, g)\le 12 \pi E(2\sqrt 2/3 ...
Giacomini, Hector +2 more
core +3 more sources
Invarianza factorial de la TEOSQ en jóvenes deportistas mexicanos y españoles [PDF]
, 2011 ESPAÑOL: Dentro de la teoría de las metas de logro (Nicholls, 1989), Duda y Nicholls (ver Duda, 1989; Duda & Whitehead, 1998) desarrollaron el cuestionario de Orientación al Ego y a la tarea en el deporte (teosq) para evaluar las diferencias individuales
Balaguer Solá, Isabel +3 more
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