1 Introduction С. albicans is a commensal and opportunistic human pathogen which is the cause of ... more 1 Introduction С. albicans is a commensal and opportunistic human pathogen which is the cause of most fungal infections in immunocompromised patients-including HIV patients, cancer patients, organ transplant recipients, and surgery pa-tients [1], [12]. In fact, it is estimated ...
Abstract. We uniquely and explicitly reconstruct the instantaneous intrinsic metric of the Kerr-N... more Abstract. We uniquely and explicitly reconstruct the instantaneous intrinsic metric of the Kerr-Newman Event Horizon from the spectrum of its Laplacian. In the process we find that the angular momentum parameter, radius, area; and in the uncharged case, mass, can be written in terms of these eigenvalues. In the uncharged case this immediately leads to the unique and explicit determination of the Kerr metric in terms of the spectrum of the event horizon. Robinson’s “no hair ” theorem now yields the corollary: One can “hear the shape ” of noncharged stationary axially symmetric black hole space-times by listening to the vibrational frequencies of its event horizon only. 1.
For surfaces of revolution diffeomorphic to S2,itisproved that (S2, can) provides sharp upper bou... more For surfaces of revolution diffeomorphic to S2,itisproved that (S2, can) provides sharp upper bounds for the multiplicities of all of the distinct eigenvalues. We also find sharp upper bounds for all the distinct eigenvalues and show that an infinite sequence of these eigenvalues are bounded above by those of (S2, can). An example of such bounds for a metric with some negative curvature is presented. 1. Introduction. Upper bounds for the multiplicities of eigenvalues have been found by Cheng and Besson in [5] and [2], respectively. Besson obtained the upper bound mk(g) ≤ 4p+2k+1 for the multiplicity of the kth eigenvalue of any compact Riemannian surface of genus p. Since these multiplicity bounds are for eigenvalues
Abstract. An upper bound on the first S 1 invariant eigenvalue of the Laplacian for S 1 invariant... more Abstract. An upper bound on the first S 1 invariant eigenvalue of the Laplacian for S 1 invariant metrics on S 2 is used to find obstructions to the existence of isometric embeddings of such metrics in (R 3, can). As a corollary we prove: If the first four distinct eigenvalues have even multiplicities then the surface of revolution cannot be isometrically embedded in (R 3, can). This leads to a generalization of a classical result in the theory of surfaces. 1.
1 Introduction С. albicans is a commensal and opportunistic human pathogen which is the cause of ... more 1 Introduction С. albicans is a commensal and opportunistic human pathogen which is the cause of most fungal infections in immunocompromised patients-including HIV patients, cancer patients, organ transplant recipients, and surgery pa-tients [1], [12]. In fact, it is estimated ...
1 Introduction С. albicans is a commensal and opportunistic human pathogen which is the cause of ... more 1 Introduction С. albicans is a commensal and opportunistic human pathogen which is the cause of most fungal infections in immunocompromised patients-including HIV patients, cancer patients, organ transplant recipients, and surgery pa-tients [1], [12]. In fact, it is estimated ...
Abstract. We uniquely and explicitly reconstruct the instantaneous intrinsic metric of the Kerr-N... more Abstract. We uniquely and explicitly reconstruct the instantaneous intrinsic metric of the Kerr-Newman Event Horizon from the spectrum of its Laplacian. In the process we find that the angular momentum parameter, radius, area; and in the uncharged case, mass, can be written in terms of these eigenvalues. In the uncharged case this immediately leads to the unique and explicit determination of the Kerr metric in terms of the spectrum of the event horizon. Robinson’s “no hair ” theorem now yields the corollary: One can “hear the shape ” of noncharged stationary axially symmetric black hole space-times by listening to the vibrational frequencies of its event horizon only. 1.
For surfaces of revolution diffeomorphic to S2,itisproved that (S2, can) provides sharp upper bou... more For surfaces of revolution diffeomorphic to S2,itisproved that (S2, can) provides sharp upper bounds for the multiplicities of all of the distinct eigenvalues. We also find sharp upper bounds for all the distinct eigenvalues and show that an infinite sequence of these eigenvalues are bounded above by those of (S2, can). An example of such bounds for a metric with some negative curvature is presented. 1. Introduction. Upper bounds for the multiplicities of eigenvalues have been found by Cheng and Besson in [5] and [2], respectively. Besson obtained the upper bound mk(g) ≤ 4p+2k+1 for the multiplicity of the kth eigenvalue of any compact Riemannian surface of genus p. Since these multiplicity bounds are for eigenvalues
Abstract. An upper bound on the first S 1 invariant eigenvalue of the Laplacian for S 1 invariant... more Abstract. An upper bound on the first S 1 invariant eigenvalue of the Laplacian for S 1 invariant metrics on S 2 is used to find obstructions to the existence of isometric embeddings of such metrics in (R 3, can). As a corollary we prove: If the first four distinct eigenvalues have even multiplicities then the surface of revolution cannot be isometrically embedded in (R 3, can). This leads to a generalization of a classical result in the theory of surfaces. 1.
1 Introduction С. albicans is a commensal and opportunistic human pathogen which is the cause of ... more 1 Introduction С. albicans is a commensal and opportunistic human pathogen which is the cause of most fungal infections in immunocompromised patients-including HIV patients, cancer patients, organ transplant recipients, and surgery pa-tients [1], [12]. In fact, it is estimated ...
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Papers by Martin Engman