Search Results - "CASE, Jeffrey S"

A remark on the kernel of the CR Paneitz operator by Case, Jeffrey S., Chanillo, Sagun, Yang, Paul

“…For CR structures in dimension three, the CR pluriharmonic functions are characterized by the vanishing of a third order operator. This third order operator,…”
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Some Q-curvature Operators on Five-Dimensional Pseudohermitian Manifolds by Case, Jeffrey S.

“…We construct Q -curvature operators on d -closed (1, 1)-forms and on ∂ ¯ b -closed (0, 1)-forms on five-dimensional pseudohermitian manifolds. These closely…”
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Boundary Operators Associated With the Sixth-Order GJMS Operator by Case, Jeffrey S, Luo, Weiyu

“…Abstract We describe a set of conformally covariant boundary operators associated with the 6th-order Graham--Jenne--Mason--Sparling (GJMS) operator on a…”
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On Fractional GJMS Operators by Case, Jeffrey S., Alice Chang, Sun-Yung

“…We describe a new interpretation of the fractional GJMS operators as generalized Dirichlet‐to‐Neumann operators associated to weighted GJMS operators on…”
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Curved Versions of the Ovsienko–Redou Operators by Case, Jeffrey S, Lin, Yueh-Ju, Yuan, Wei

“…Abstract We construct a family of conformally covariant bidifferential operators on pseudo-Riemannian manifolds. Our construction is analogous to the…”
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Deformations of the Scalar Curvature of a Partially Integrable Pseudohermitian Manifold by Case, Jeffrey S., Ho, Pak Tung

“…We consider deformations of the scalar curvature of a partially integrable pseudohermitian manifold, in analogy with the work of Fischer and Marsden on…”
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Singularity theorems and the Lorentzian splitting theorem for the Bakry–Emery–Ricci tensor by Case, Jeffrey S.

“…We consider the Hawking–Penrose singularity theorems and the Lorentzian splitting theorem under the weaker curvature condition of nonnegative Bakry–Emery–Ricci…”
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THE NONEXISTENCE OF QUASI-EINSTEIN METRICS by CASE, Jeffrey S

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A weighted renormalized curvature for manifolds with density by CASE, JEFFREY S.

“…We introduce a scalar invariant on manifolds with density which is analogous to the renormalized volume coefficient v_3 in conformal geometry. We show that…”
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Conformal invariants measuring the best constants for Gagliardo–Nirenberg–Sobolev inequalities by Case, Jeffrey S.

“…We introduce a family of conformal invariants associated to a smooth metric measure space which generalize the relationship between the Yamabe constant and the…”
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Nonuniqueness for a fully nonlinear boundary Yamabe-type problem via bifurcation theory by Case, Jeffrey S., Moreira, Ana Claudia, Wang, Yi

“…One way to generalize the boundary Yamabe problem posed by Escobar is to ask if a given metric on a compact manifold with boundary can be conformally deformed…”
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The Neumann problem on the domain in 𝕊3 bounded by the Clifford torus by Case, Jeffrey S., Chen, Eric, Wang, Yi, Yang, Paul, Yung, Po-Lam

“…In this study, the solution of the Neumann problem associated with the CR Yamabe operator on a subset of the CR manifold bounded by the Clifford torus is…”
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The CR Paneitz operator and the stability of CR pluriharmonic functions by Case, Jeffrey S., Chanillo, Sagun, Yang, Paul

“…We give a condition which ensures that the Paneitz operator of an embedded three-dimensional CR manifold is nonnegative and has kernel consisting only of the…”
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The Energy of a Smooth Metric Measure Space and Applications by Case, Jeffrey S.

“…We introduce and study the notion of the energy of a smooth metric measure space, which includes as special cases the Yamabe constant and Perelman’s ν…”
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A simple construction of the Rumin algebra by Case, Jeffrey S.

“…The Rumin algebra of a contact manifold is a contact invariant $C_\infty $-algebra of differential forms which computes the de Rham cohomology algebra. We…”
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A factorization of the GJMS operators of special Einstein products and applications by Case, Jeffrey S., Malchiodi, Andrea

“…We show that the GJMS operators of a special Einstein product factor as a composition of second‐ and fourth‐order differential operators. In particular, our…”
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The weighted σk-curvature of a smooth metric measure space by Case, Jeffrey S.

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The Lichnerowicz–Obata theorem for the Kohn Laplacian in three dimensions by Case, Jeffrey S., Yang, Paul

“…We prove rigidity for the Lichnerowicz-type eigenvalue estimate for the Kohn Laplacian on strictly pseudoconvex three-manifolds with nonnegative CR Paneitz…”
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An interesting family of conformally invariant one-forms in even dimensions by Case, Jeffrey S.

“…We construct a natural conformally invariant one-form of weight −2k on any 2k-dimensional pseudo-Riemannian manifold which is closely related to the Pfaffian…”
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Boundary Operators Associated with the Paneitz Operator by Case, Jeffrey S.

“…We describe a set of conformally covariant boundary operators associated to the Paneitz operator, in the sense that they give rise to a conformally covariant…”
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