Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary II

[1] S. Y. Cheng, Eigenvalue comparison theorems and geometrical applications, Math. Z. 143 (1975) 289–297.10.1007/BF01214381Search in Google Scholar

[2] S. Gallot, D. Hulin, J. La Fontaine, Riemannian Geometry, Springer, Berlin (2007).Search in Google Scholar

[3] M. Gromov: Structures métriques pour les variétés riemanniennes, Textes Math. 1, Cedic-Nathan, (1981).Search in Google Scholar

[4] F. Laudenbach: A Morse Complex for Manifolds with boundary, Geom. Dedicata 153 (2011), pp. 47-57.10.1007/s10711-010-9555-ySearch in Google Scholar

[5] Li, P., Yau, S.T.: Estimates of eigenvalues of a compact Riemannian manifold. Proc. Symp. Pure Appl. Math. 36, 205-239 (1980).Search in Google Scholar

[6] D. Meyer: Minoration de la premiere valeur propre non nulle du problème de Neumann sur les variétés riemanniens à bord, Ann. Inst. Fourier, Grenoble 36, 2 (1986), pp.113-125.10.5802/aif.1051Search in Google Scholar

[7] L. E. Payne and H. F. Weinberger: Lower bounds for vibration frequencies of elastically supported membranes and plates, J. Soc. Ind. Appi. Math. 5 (1957), pp. 171-182.10.1137/0105012Search in Google Scholar

[8] L. Sabatini: Estimates of the Laplacian Spectrum and bounds of Topological Invarinats for Riemannian Manifolds with Boundary, Analele Un. Ovidius Constanta, Seria Matematica, vol. XXVII fasc. 2, (2019), pp. 179-211.Search in Google Scholar

[9] L. Sabatini: On the Vibration Frequencies of thin linear elastic Membranes, Applictions of Mathematics, vol. 63, (2018), pp. 37-53.Search in Google Scholar

[10] P. Yang, S. T. Yau: Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds, Ann. Scuola N. Sup. Pisa 7 (1980), pp. 55-63.Search in Google Scholar