Heat kernel estimate for the Laplace-Beltrami operator under Bakry-Émery Ricci curvature condition and applications

Publication date: December 2023Source: Journal of Geometry and Physics, Volume 194Author(s): Xingyu Song, Ling Wu, Meng Zhu Continue reading Heat kernel estimate for the Laplace-Beltrami operator under Bakry-Émery Ricci curvature condition and applications

Tensorial time derivatives on moving surfaces: General concepts and a specific application for surface Landau-de Gennes models

Publication date: December 2023Source: Journal of Geometry and Physics, Volume 194Author(s): Ingo Nitschke, Axel Voigt Continue reading Tensorial time derivatives on moving surfaces: General concepts and a specific application for surface Landau-de Gennes models

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Publication date: December 2023Source: Journal of Geometry and Physics, Volume 194Author(s): Xi Zhang, Dong Gao, Zejun Hu, Zeke Yao Continue reading On Hopf hypersurfaces of <math xmlns:mml=”http://www.w3.org/1998/Math/MathML” altimg=”si1.svg” class=”math”><msup><mrow><mi mathvariant=”double-struck”>S</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>×</mo><msup><mrow><mi mathvariant=”double-struck”>S</mi></mrow><mrow><mn>2</mn></mrow></msup></math> and <math xmlns:mml=”http://www.w3.org/1998/Math/MathML” altimg=”si2.svg” class=”math”><msup><mrow><mi mathvariant=”double-struck”>H</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>×</mo><msup><mrow><mi mathvariant=”double-struck”>H</mi></mrow><mrow><mn>2</mn></mrow></msup></math>